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Tytuł:
Approximate solution of painlevé equation i by natural decomposition method and laplace decomposition method
Autorzy:
Amir, Muhammad
Haider, Jamil Abbase
Ahmad, Shahbaz
Ashraf, Asifa
Gul, Sana
Powiązania:
https://bibliotekanauki.pl/articles/2233067.pdf
Data publikacji:
2023
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
natural decomposition method
Laplace decomposition method
series solution
Adomain polynomial
Painlevéequation
Opis:
The Painlevé equations and their solutions occur in some areas of theoretical physics, pure and applied mathematics. This paper applies natural decomposition method (NDM) and Laplace decomposition method (LDM) to solve the second-order Painlevé equation. These methods are based on the Adomain polynomial to find the non-linear term in the differential equation. The approximate solution of Painlevé equations is determined in the series form, and recursive relation is used to calculate the remaining components. The results are compared with the existing numerical solutions in the literature to demonstrate the efficiency and validity of the proposed methods. Using these methods, we can properly handle a class of non-linear partial differential equations (NLPDEs) simply. Novelty: One of the key novelties of the Painlevé equations is their remarkable property of having only movable singularities, which means that their solutions do not have any singularities that are fixed in position. This property makes the Painlevé equations particularly useful in the study of non-linear systems, as it allows for the construction of exact solutions in certain cases. Another important feature of the Painlevé equations is their appearance in diverse fields such as statistical mechanics, random matrix theory and soliton theory. This has led to a wide range of applications, including the study of random processes, the dynamics of fluids and the behaviour of non-linear waves.
Źródło:
Acta Mechanica et Automatica; 2023, 17, 3; 417--422
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An influence matrix technique for multi-domain solution of the Navier-Stokes equations in a vorticity-streamfunction formulation
Zastosowanie metody macierzy wpływu w połączeniu z metodą dekompozycji obszaru obliczeniowego do rozwiązania równań Naviera-Stokesa sformułowanych w postaci wirowość-funkcja prądu
Autorzy:
Bogusławski, A.
Kubacki, S.
Powiązania:
https://bibliotekanauki.pl/articles/280218.pdf
Data publikacji:
2009
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
spectral methods
domain decomposition method
influence matrix technique
Opis:
The paper presents new multi-domain algorithms based on the influence matrix technique applied together with the non-overlapping iterative domain decomposition method for solution of the incompressible Navier- Stokes equations in vorticity-streamfunction formulation. The spectral Chebyshev collocation method and the influence matrix algorithm are applied for solution of the Stokes problem in each subdomain resulting from time discretization of the Navier-Stokes equations, while the patching conditions (continuity of the solution and continuity of its first order derivative) at the interfaces between subdomains are satisfied using the iterative domain decomposition algorithm.
W pracy przedstawiono nowy iteracyjny algorytm dekompozycji obszaru obliczeniowego oparty na metodzie macierzy wpływu w zastosowaniu do równań Naviera- -Stokesa dla przepływu czynnika nieściśliwego w sformułowaniu wirowość-funkcja prądu. Spektralna metoda kolokacji wykorzystująca szeregi wielomianów Czebyszewa oraz metoda macierzy wpływu została zastosowana do rozwiązania zagadnienia Stokesa, będącego rezultatem dyskretyzacji równań Naviera-Stokesa w funkcji czasu, w każdym z podobszarów obszaru obliczeniowego, natomiast warunek ciągłości rozwiązania i jego pierwszej pochodnej na powierzchniach rozdziału pomiędzy podobszarami został uzyskany przy pomocy metody iteracyjnej.
Źródło:
Journal of Theoretical and Applied Mechanics; 2009, 47, 1; 17-40
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of heat transfer on thermal stresses in an annular hyperbolic fin: an approximate analytical solution
Autorzy:
Mallick, A.
Ranjan, R.
Sarkar, P. K.
Powiązania:
https://bibliotekanauki.pl/articles/279437.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
thermal stresses
Adomian decomposition method (ADM)
variable thermal conductivity
Opis:
An approximate analytical solution is presented for thermal stresses in an annular convectiveconductive fin of a hyperbolic profile with temperature dependent thermal conductivity. The classical thermo-elasticity theory coupled with the ADM based polynomial form of temperature field is employed for an approximate analytical solution of thermal stresses. The influence of thermal parameters, i.e. variable thermal conductivity, the thermo-geometric parameter and the non-dimensional coefficient of thermal expansion on temperature and sttress fields are investigated. The results for the stress field obtained from the ADM based solution are compared with those available in literature and found to be in close agreement.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 2; 437-448
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the blowing up solutions of the 4-d general q-Kuramoto-Sivashinsky equation with exponentially “dominated” nonlinearity and singular weight
Autorzy:
Baraket, Sami
Mahdaoui, Safia
Ouni, Taieb
Powiązania:
https://bibliotekanauki.pl/articles/29519212.pdf
Data publikacji:
2023
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
singular limits
Green’s function
nonlinearity
gradient
nonlinear domain decomposition method
Opis:
Let Ω be a bounded domain in $ \mathbb{R}^4 $ with smooth boundary and let $ x^1, x^2, . . . , x^m $ be m-points in Ω. We are concerned with the problem $ \Delta^2 u - H(x, u, D^k u)=\rho^4 \prod_{i=1}^n | x - p_i |^{4 \alpha_i } f(x)g(u), $ where the principal term is the bi-Laplacian operator, $ H(x, u, D^k u)$ is a functional which grows with respect to $ Du $ at most like $ |Du|^q, 1 ≤ q ≤ 4, f : Ω → [0,+∞[ $ is a smooth function satisfying f(pi) > 0 for any i = 1, . . . , n, $ α_i $ are positives numbers and $ g : \mathbb{R} → [0,+∞[ $ satisfy $ |g(u)| ≤ ce^u $. In this paper, we give sufficient conditions for existence of a family of positive weak solutions $ (u_ρ)_{ρ>0} $ in Ω under Navier boundary conditions u = Δu = 0 on ∂Ω. The solutions we constructed are singular as the parameters ρ tends to 0, when the set of concentration $ S = {x^1, . . . , x^m} ⊂ Ω $ and the set $ Λ := {p_1, . . . , p_n} ⊂ Ω $ are not necessarily disjoint. The proof is mainly based on nonlinear domain decomposition method.
Źródło:
Opuscula Mathematica; 2023, 43, 1; 5-18
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dirichlet/Dirichlet and Dirichlet/Dirichlet-Neumann/Neumann non-overlapping iterative domain decomposition methods
Autorzy:
Kubacki, S.
Bogusławski, A.
Powiązania:
https://bibliotekanauki.pl/articles/1933184.pdf
Data publikacji:
2008
Wydawca:
Politechnika Gdańska
Tematy:
non-overlapping domain decomposition method
parallel computing
spectral methods
Helmholtz equation
Opis:
A new iterative non-overlapping domain decomposition method is proposed for solving the one- and two-dimensional Helmholtz equation on parallel computers. The spectral collocation method is applied to solve the Helmholtz equation in each subdomain based on the Chebyshev approximation, while the patching conditions are imposed at the interfaces between subdomains through a correction, being a linear function of the space coordinates. Convergence analysis is performed for two applications of the proposed method (DDLC and DDNNLC algorithms - the meaning of these abbreviations is explained below) based on the works of Zanolli and Funaro et al. Numerical tests have been performed and results obtained using the proposed method and other iterative algorithms have been compared. Parallel performance of the multi-domain algorithms has been analyzed by decomposing the two-dimensional domain into a number of subdomains in one spatial direction. For the one-dimensional problem, convergence of the iteration process was quickly obtained using the proposed method, setting a small value of the ? constant in the Helmholtz equation. Another application of the proposed method may be an alternative to other iterative schemes when solving the two-dimensional Helmholtz equation.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2008, 12, 1-2; 85-104
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium
Autorzy:
Imo-Mani-Singha, H.
Sengupta, Sanjib
Powiązania:
https://bibliotekanauki.pl/articles/1839832.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
time-fractional order Navier-Stokes equation
Laplace decomposition method
LDM
Magnetohydrodynamics
MHD
dusty flow
non-Darcy porous medium
ciecz newtonowska
przepływ cieczy nienewtonowskiej
Laplace Decomposition Method
magnetohydrodynamika
Opis:
In this paper, time fractional flow of a Newtonian fluid through a uniform cylindrical tube with a non-Darcy porous medium in the presence of dust particles under the application of a uniform magnetic field along the meridian axis is discussed. The implication of time fractional order differential equations in flow problems and some benefits of fractional order differential equations are highlighted. The Laplace Decomposition Method (LDM) is used to obtain an approximate solution to the proposed problem. The impact of fractional order and integer order of the differential equations and also the effects of some important parameters on the flow system are shown in the forms of graphs and a table. The convergence test of the solution is done. It has been observed that the fractional order differential equation reveals more things like the decrease in dust particle velocity due to the increase in magnetic field for fractional order derivatives, whereas, no noticeable change in dust particle velocity due to the change in magnetic field for integer order derivatives are observed. Also, it is observed that an increase in a fractional order derivative decrease the fluid as well as the dust particle velocities. The skin friction at the walls of the tube are also highlighted.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 101-114
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dusty time fractional MHD flow of a Newtonian fluid through a cylindrical tube with a non-Darcian porous medium
Autorzy:
Imo-Mani-Singha, H.
Sengupta, Sanjib
Powiązania:
https://bibliotekanauki.pl/articles/1839728.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
time-fractional order Navier-Stokes equation
Laplace decomposition method
LDM
Magnetohydrodynamics
MHD
dusty flow
non-Darcy porous medium
ciecz newtonowska
przepływ cieczy nienewtonowskiej
Laplace Decomposition Method
magnetohydrodynamika
Opis:
In this paper, time fractional flow of a Newtonian fluid through a uniform cylindrical tube with a non-Darcy porous medium in the presence of dust particles under the application of a uniform magnetic field along the meridian axis is discussed. The implication of time fractional order differential equations in flow problems and some benefits of fractional order differential equations are highlighted. The Laplace Decomposition Method (LDM) is used to obtain an approximate solution to the proposed problem. The impact of fractional order and integer order of the differential equations and also the effects of some important parameters on the flow system are shown in the forms of graphs and a table. The convergence test of the solution is done. It has been observed that the fractional order differential equation reveals more things like the decrease in dust particle velocity due to the increase in magnetic field for fractional order derivatives, whereas, no noticeable change in dust particle velocity due to the change in magnetic field for integer order derivatives are observed. Also, it is observed that an increase in a fractional order derivative decrease the fluid as well as the dust particle velocities. The skin friction at the walls of the tube are also highlighted.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 101-114
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stan zdrowia i umieralność jako determinanty procesu depopulacji – analiza na przykładzie województwa łódzkiego
Health status and mortality as determinants of depopulation: a case study of Łódź Voivodeship
Autorzy:
Wróblewska, Wiktoria
Powiązania:
https://bibliotekanauki.pl/articles/694437.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
trwanie życia
metoda dekompozycji
województwo łódzkie
life expectancy
decomposition method
Łódź Voivodeship
Opis:
The author have presented an assessment of health status and mortality data for the Łódź Voivodeship against these for the whole of Poland and the voivodeships with the highest life expectancy indicators. The analysis draws on decomposition of changes in life expectancy by sex and age group. This method allowed for the identification of those age groups in which changes in mortality had the greatest influence on the eо parameter level. The study is important for the Łódź Voivodeship depopulation problem, observed since many years.
Praca dotyczy oceny stanu zdrowia i umieralności województwa łódzkiego na tle sytuacji ogólnopolskiej oraz województw o najlepszych wskaźnikach trwania życia. Do analizy wykorzystano metodę dekompozycji różnic w trwaniu życia według płci i grup wieku. Zastosowana metoda pozwoliła na identyfikację grup wieku, w których zmiany w umieralności miały największy wpływ na poziom parametru eо. Podjęte zagadnienie ma istotne znaczenie w świetle obserwowanej od lat depopulacji województwa łódzkiego.
Źródło:
Konwersatorium Wiedzy o Mieście; 2017, 30, 2; 81-86
2543-9421
2544-1221
Pojawia się w:
Konwersatorium Wiedzy o Mieście
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of the modified time fractional coupled burgers equations using laplace adomian decompostion method
Autorzy:
Omame, Andrew
Zaman, Fiazud Din
Powiązania:
https://bibliotekanauki.pl/articles/2204660.pdf
Data publikacji:
2023
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
Burgers equations
fractional derivatives
Laplace Adomian decomposition method
semi-analytic solutions
simulations
Opis:
In this work, a coupled system of time-fractional modified Burgers’ equations is considered. Three different fractional operators: Caputo, Caputo-Fabrizio and Atangana-Baleanu operators are implemented for the equations. Also, two different scenarios are examined for each fractional operator: when the initial conditions are u(x,y,0) = sin(xy), v(x,y,0) = sin(xy), and when they are u(x,y,0) = e{−kxy}, v(x,y,0) = e{−kxy}, where k,α are some positive constants. With the aid of computable Adomian polynomials, the solutions are obtained using Laplace Adomian decomposition method (LADM). The method does not need linearization, weak nonlinearity assumptions or perturbation theory. Simulations are also presented to support theoretical results, and the behaviour of the solutions under the three different fractional operators compared.
Źródło:
Acta Mechanica et Automatica; 2023, 17, 1; 124--132
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decomposition versus Minimal Path and Cuts Methods for Reliability Evaluation of an Advanced Robotic Production System
Autorzy:
Shojaeifar, A.
Fazlollahtabar, H.
Mahdavi, I.
Powiązania:
https://bibliotekanauki.pl/articles/385117.pdf
Data publikacji:
2016
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
complex system reliability
industrial robots
decomposition method (DM)
minimal paths and cuts method (MPCM) cone
Opis:
As complex systems have become global and essential in today’s society, their reliable design and the determination of their availability have turned into a very important task for managers and engineers. Industrial robots are examples of these complex systems that are being increasingly used for intelligent transportation, production and distribution of materials in warehouses and automated production lines. In this paper, two techniques of reliability evaluation are developed for a complex system of robots. Decomposition method and minimal path and cuts method are adapted for the proposed complex system. For practical implementation, a particular robot system is first modeled. Then, reliability block diagram is adopted to model the complex system for reliability evaluation purpose. Finally, the methods are implemented and their properties are discussed.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2016, 10, 3; 52-57
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
MCPA decomposition method in soil matrix using ozone as an oxidant
Metoda rozkładu MCPA w matrycy glebowej z użyciem ozonu jako utleniacza
Autorzy:
Balawejder, M.
Antos, P.
Jozefczyk, R.
Pieniazek, M.
Odzimek, E.
Powiązania:
https://bibliotekanauki.pl/articles/905746.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
2-methyl-4-chlorophenoxyacetic acid
decomposition method
soil matrix
ozone
oxidant
soil contamination
Opis:
In presented research a method for remediation of MCPA contaminated soil based on the combination of fluidization process technique and ozone was utilized. Exposition of soil contaminated with MCPA at the concentration of 0,1 % w/w on the a mixture of air and ozone allowed for removal of over 90% of MCPA in form of MCPA 2-ethylhexanol-ester (MCPA 2-EHE) in laboratory conditions. The efficacy of the method was proven by GC-MS analysis of MCPA concentration profile during soil remediation procedure and by comparing of kinetic data, such as half life time, with the natural half life time of MCPA in the soil.
Źródło:
Polish Journal of Soil Science; 2014, 47, 2
0079-2985
Pojawia się w:
Polish Journal of Soil Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of fractional heat-like and fractional wave-like equation by using modern strategy
Autorzy:
Mohamed, Zain El Abden
Hamza, Amjad
Elzaki, Tarig
Algolam, Mohamed
Elhussein, Shiraz
Powiązania:
https://bibliotekanauki.pl/articles/2233715.pdf
Data publikacji:
2023
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
fractional-order wave-like equation
fractional-order heat-like equation
initial-boundary value problem
Adomian decomposition method
Opis:
This paper introduces a novel form of the Adomian decomposition (ADM) method for solving fractional-order heat-like and wave-like equations with starting and boundary value problems. The derivations are provided in the sense of Caputo. In order to help understanding, the generalised formulation of the current approach is provided. Several numerical examples of fractional-order diffusion-wave equations (FDWEs) are solved using the suggested method in this context. In addition to examining the applicability of the suggested method to the solving of fractional-order heat-like and wave-like equations, a graphical depiction of the solutions to three instructive cases was constructed. Solution graphs were arrived at for integer and fractional-order problems. The derived and exact solutions to integer-order problems were found to be in excellent agreement. The subject of the present research endeavour is the convergence of fractional-order solutions. This strategy is considered to be the most successful way of addressing fractional-order initial-boundary value issues in science and engineering. This strategy is presented here.
Źródło:
Acta Mechanica et Automatica; 2023, 17, 3; 372--380
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analytical solution of the time fractional Fokker-Planck equation
Autorzy:
Sutradhar, T.
Datta, B. K.
Bera, R. K.
Powiązania:
https://bibliotekanauki.pl/articles/955129.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
równanie Fokkera-Plancka
równania różniczkowe
mechanika stosowana
Fokker-Planck equation
Adomian decomposition method
fractional calculus
fractional differential equation
Opis:
A nonperturbative approximate analytic solution is derived for the time fractional Fokker-Planck (F-P) equation by using Adomian’s Decomposition Method (ADM). The solution is expressed in terms of Mittag-Leffler function. The present method performs extremely well in terms of accuracy, efficiency and simplicity.
Źródło:
International Journal of Applied Mechanics and Engineering; 2014, 19, 2; 435-440
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New iterative method of solving nonlinear equations in fluid mechanics
Autorzy:
Palivets, M.
Andreev, E.
Bakshtanin, A.
Benin, D.
Snezhko, V.
Powiązania:
https://bibliotekanauki.pl/articles/2106452.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
trzęsienie ziemi
mechanika płynów
porowatość
Adomian Decomposition Method ADM
earthquake
filtration
fluid mechanics
iterative method
nonlinear fractional partial differential equations
porous medium
Opis:
This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics. A numerical analysis was performed to find an exact solution of the fractional wave equation and fractional Burgers’ equation, as well as an approximate solution of fractional KdV equation and fractional Boussinesq equation. Fractional derivatives of the order are described using Caputo's definition with 01<α≤ or 12<α≤. A comparative analysis of the results obtained using a new iterative method with those obtained by the Adomian decomposition method showed the first method to be more efficient and simple, providing accurate results in fewer computational operations. Given its flexibility and ability to solve nonlinear equations, the iterative method can be used to solve more complex linear and nonlinear fractional partial differential equations.
Źródło:
International Journal of Applied Mechanics and Engineering; 2021, 26, 3; 163--176
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oddziaływanie terms of trade na wzrost gospodarczy w Polsce
The impact of terms of trade on economic growth in Poland
Autorzy:
Marczewski, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/18104544.pdf
Data publikacji:
2023-01-13
Wydawca:
Szkoła Główna Handlowa w Warszawie. Kolegium Zarządzania i Finansów
Tematy:
terms of trade
social welfare
Törnqvist index
decomposition method
factors of economic growth
dobrobyt społeczny
indeks Törnqvista
metoda dekompozycyjna
czynniki wzrostu gospodarczego
Opis:
Znaczne zmiany terms of trade mają istotny wpływ na kształtowanie się salda obrotów handlu zagranicznego, strukturę podziału PKB oraz dobrobyt społeczny. W artykule rozpatrywany jest wpływ terms of trade na wzrost gospodarczy w Polsce w ujęciu dobrobytowym. Omówione zostały podstawy teoretyczne zagadnienia, proste wskaźniki pomiaru wpływu terms of trade na PKB oraz zastosowana w badaniu metoda dekompozycyjna U. Kohliego. W części empirycznej przedstawione zostały wyniki obliczeń, na tle innych czynników produkcji, oddziaływania terms of trade na tempo wzrostu gospodarczego Polski w latach 1995–2020. Stwierdzono wyraźnie pozytywny wkład terms of trade we wzrost w okresie po przystąpieniu Polski do Unii Europejskiej.
The terms of trade have a significant impact on the balance of foreign trade turnover, the structure of GDP distribution, and social welfare. The article examines the impact of terms of trade on economic growth in Poland in welfare terms. The theoretical basis of the issue, simple indicators for measuring the impact of terms of trade on GDP, and the decomposition method of U. Kohli used in the study were discussed. The empirical part presents the results of calculations, compared to other factors of production, of the impact of terms of trade on the rate of Polish economic growth in the years 1995–2020. The clearly positive contribution of the terms of trade to growth in the period following Poland’s accession to the European Union was found.
Źródło:
Studia i Prace Kolegium Zarządzania i Finansów; 2022, 185; 9-21
1234-8872
2657-5620
Pojawia się w:
Studia i Prace Kolegium Zarządzania i Finansów
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new numerical technique for solving fractional Bratu’s initial value problems in the Caputo and Caputo-Fabrizio sense
Autorzy:
Khalouta, Ali
Kadem, Abdelouahab
Powiązania:
https://bibliotekanauki.pl/articles/1839797.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional Bratu’s initial value problem
Caputo fractional derivative
Caputo-Fabrizio fractional derivative
natural transform method
Adomian decomposition method
ułamkowa pochodna Caputo
ułamkowa pochodna Caputo-Fabrizio
metoda transformacji naturalnej
metoda dekompozycji Adomiana
Opis:
The purpose of this paper is to propose a new numerical technique called the natural decomposition method (NDM) for solving fractional Bratu’s initial value problems (FBIVP) in the Caputo and Caputo-Fabrizio sense. The NDM is a combined form of the natural transform method and the Adomian decomposition method. The numerical example is provided in order to validate the efficiency and reliability of the proposed method. The obtained results reveal that the proposed method is a very efficient and simple tool for solving fractional differential equations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 43-56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new numerical technique for solving fractional Bratu’s initial value problems in the Caputo and Caputo-Fabrizio sense
Autorzy:
Khalouta, Ali
Kadem, Abdelouahab
Powiązania:
https://bibliotekanauki.pl/articles/122619.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
fractional Bratu’s initial value problem
Caputo fractional derivative
Caputo-Fabrizio fractional derivative
natural transform method
Adomian decomposition method
ułamkowa pochodna Caputo
ułamkowa pochodna Caputo-Fabrizio
metoda transformacji naturalnej
metoda dekompozycji Adomiana
Opis:
The purpose of this paper is to propose a new numerical technique called the natural decomposition method (NDM) for solving fractional Bratu’s initial value problems (FBIVP) in the Caputo and Caputo-Fabrizio sense. The NDM is a combined form of the natural transform method and the Adomian decomposition method. The numerical example is provided in order to validate the efficiency and reliability of the proposed method. The obtained results reveal that the proposed method is a very efficient and simple tool for solving fractional differential equations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 43-56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A comprehensive cycloid pin-wheel precision reducer test platform integrated with a new dynamic measurement method of lost motion
Autorzy:
Yue, Huijun
Wu, Xiangkai
Shi, Zhaoyao
Zhang, Yue
Ye, Yong
Zhang, Lintao
Fu, Ying
Powiązania:
https://bibliotekanauki.pl/articles/2052087.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
cycloid pin-wheel precision reducer
RV reducer
test platform
comprehensive performance
dynamic measurement of lost motion
decomposition test method
Opis:
While cycloid pin-wheel precision reducers (referred to as RV reducers) are widely used in industrial robots, a widely accepted design standard or verification method of their test platforms is not available. In this study, a comprehensive sliding-separation test platform of RV reducers was developed. The test platform can test various measurement items such as transmission error, static measurement of lost motion, dynamic measurement of lost motion, torsional rigidity, no-load running torque, starting torque, backdriving torque, and transmission efficiency of the RV reducer for robots. The principle and method of dynamic measurement of lost motion tests based on the two-way transmission error method were studied and this test function was successfully integrated with the comprehensive test platform in order to increase the test items of the dynamic performance parameters of RV reducers. The measurement results of the no-load running torque of the RV reducer were consistent with the Stribeck curve. Based on the concept of optimal measurement speed, a decomposition test method of the geometric component of the dynamic measurement of lost motion and the elastic component of the dynamic measurement of lost motion was proposed in the dynamic measurement test of lost motion. Through precision calibration, function test and repeatability test, the results were compared with the data of enterprise’s samples. The consistent results have proved that the test platform met engineering requirements and measurement accuracy requirements. Based on the new test principle, the developed platform can test more parameters of RV reducers with high precision and display the comprehensive test performance.
Źródło:
Metrology and Measurement Systems; 2022, 29, 1; 207-229
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear solution to a non-Fourier heat conduction problem in a slab heated by laser source
Nieliniowe rozwiązanie problemu niefourierowskiego przewodzenia ciepła w płycie nagrzewanej źródłem laserowym
Autorzy:
Noroozi, M. J.
Saedodin, S.
Ganji, D. D.
Powiązania:
https://bibliotekanauki.pl/articles/950685.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
non-Fourier heat conduction problem
nonlinear analysis
C-V model
Adomian Decomposition Method ADM
laser heating
problem niefourierowski przewodzenia ciepła
analiza nieliniowa
model C-V
metoda dekompozycji Adomiana ADM
nagrzewanie laserowe
Opis:
The effect of laser, as a heat source, on a one-dimensional finite body was studied in this paper. The Cattaneo-Vernotte non-Fourier heat conduction model was used for thermal analysis. The thermal conductivity was assumed temperature-dependent which resulted in a non-linear equation. The obtained equations were solved using the approximate-analytical Adomian Decomposition Method (ADM). It was concluded that the non-linear analysis is important in non-Fourier heat conduction problems. Significant differences were observed between the Fourier and non-Fourier solutions which stresses the importance of non-Fourier solutions in the similar problems.
W artykule badano działanie laserowego źródła ciepła na ciało jednowymiarowe o skończonych wymiarach. Do analizy rozkładu temperatury zastosowano niefourierowski model przewodnictwa ciepła Cattaneo-Vernotte. Założono, że przewodność cieplna jest zależna od temperatury, w wyniku czego otrzymano równania nieliniowe. Do rozwiązania równań zastosowano przybliżoną analityczną metodę dekompozycji Adomiana (ADM). Stwierdzono, że analiza nieliniowa ma istotne znaczenie w problemach przewodnictwa ciepła typu niefourierowskiego. Zaobserwowano istotne różnice między rozwiązaniami fourierowskimi i niefourierowskimi, co podkreśla celowość stosowania tych ostatnich w podobnych problemach.
Źródło:
Archive of Mechanical Engineering; 2016, LXIII, 1; 129-144
0004-0738
Pojawia się w:
Archive of Mechanical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical solution of a fractional coupled system with the Caputo-Fabrizio fractional derivative
Autorzy:
Mansouri, Ikram
Bekkouche, Mohammed Moumen
Ahmed, Abdelaziz Azeb
Powiązania:
https://bibliotekanauki.pl/articles/2202061.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Caputo-Fabrizio fractional derivative
fractional integral
coupled system
fractional differential equation
fixed point
Adomian decomposition method
pochodna ułamkowa Caputo-Fabrizio
całkowanie ułamkowe
system sprzężony
ułamkowe równanie różniczkowe
punkt stały
metoda dekompozycji Adomiana
Opis:
Within this work, we discuss the existence of solutions for a coupled system of linear fractional differential equations involving Caputo-Fabrizio fractional orders. We prove the existence and uniqueness of the solution by using the Picard-Lindel ̈of method and fixed point theory. Also, to compute an approximate solution of problem, we utilize the Adomian decomposition method (ADM), as this method provides the solution in the form of a series such that the infinite series converge to the exact solution. Numerical examples are presented to illustrate the validity and effectiveness of the proposed method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 46--56
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solutions of Benjamin-Bona-Mahony, modified Camassa-Holm and Degasperis Procesi equations using an iterative method
Autorzy:
Kumar, Manoj
Powiązania:
https://bibliotekanauki.pl/articles/2202030.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
nonlinear Bejamin-Bona-Mahony equation
modified Camassa-Holm equation
modified Degasperis-Procesi equation
Daftardar-Gejji and Jafari method
homotopy perturbation method
Adomian decomposition method
nieliniowe równanie Bejamina-Bony-Mahony'ego
zmodyfikowane równanie Camassy-Holma
zmodyfikowane równanie Degasperisa-Procesiego
metoda Daftardara-Gejji i Jafari
metoda perturbacji homotopii
metoda dekompozycji Adomiana
Opis:
In the present paper, we solve the non-linear Benjamin-Bona-Mahony, modified Camassa-Holm, and Degasperis-Procesi equations using an iterative method introduced by Daftardar-Gejji and Jafari. Results are compared with those obtained by other iterative methods such as the Adomian decomposition method and homotopy perturbation method. It is observed that the proposed method is computationally inexpensive and yields more accurate solutions than the Adomian decomposition method and the homotopy perturbation method.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 3; 59--72
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Direct method of hierarchical nonlinear optimization - reassessment after 30 years
Autorzy:
Karbowski, A.
Powiązania:
https://bibliotekanauki.pl/articles/308864.pdf
Data publikacji:
2004
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
hierarchical optimization
decomposition
direct method
Benders method
cutting plane method
distributed computations
Opis:
We consider the optimization problems which may be solved by the direct decomposition method. It is possible when the performance index is a monotone function of other performance indices, which depend on two subsets of decision variables: an individual for every inner performance index and a common one for all. Such problems may be treated as a generalization of separable problems with the additive cost and constraints functions. In the paper both the underlying theory and the basic numerical techniques are presented and compared. A special attention is paid to the guarantees of convergence in different classes of problems and to the effectiveness of calculations.
Źródło:
Journal of Telecommunications and Information Technology; 2004, 3; 3-11
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Area-oriented technology mapping for LUT-based logic blocks
Autorzy:
Kubica, M.
Kania, D.
Powiązania:
https://bibliotekanauki.pl/articles/331370.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
SMTBDD
FPGA
synthesis method
decomposition technique
metoda syntezy
technika rozkładu
Opis:
One of the main aspects of logic synthesis dedicated to FPGA is the problem of technology mapping, which is directly associated with the logic decomposition technique. This paper focuses on using configurable properties of CLBs in the process of logic decomposition and technology mapping. A novel theory and a set of efficient techniques for logic decomposition based on a BDD are proposed. The paper shows that logic optimization can be efficiently carried out by using multiple decomposition. The essence of the proposed synthesis method is multiple cutting of a BDD. A new diagram form called an SMTBDD is proposed. Moreover, techniques that allow finding the best technology mapping oriented to configurability of CLBs are presented. In the experimental section, the presented method (MultiDec) is compared with academic and commercial tools. The experimental results show that the proposed technology mapping strategy leads to good results in terms of the number of CLBs.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 1; 207-222
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Penalties, Lagrange multipliers and Nitsche mortaring
Autorzy:
Grossmann, Christian
Powiązania:
https://bibliotekanauki.pl/articles/729228.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
augmented Lagrangian
penalty method
domain decomposition
Nitsche mortaring
finite elements
Opis:
Penalty methods, augmented Lagrangian methods and Nitsche mortaring are well known numerical methods among the specialists in the related areas optimization and finite elements, respectively, but common aspects are rarely available. The aim of the present paper is to describe these methods from a unifying optimization perspective and to highlight some common features of them.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 205-220
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reduced order models in PIDE constrained optimization
Autorzy:
Sachs, E. W.
Schu, M.
Powiązania:
https://bibliotekanauki.pl/articles/969882.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
jump diffusion models
proper orthogonal decomposition
trust region method
TRPOD
Opis:
Mathematical models for option pricing often result in partial differential equations originally starting with the Black-Scholes model. In this context, recent enhancements are models driven by Levy processes, which lead to a partial differential equation with an additional integral term. If one solves the problems mentioned last numerically, this yields large linear systems of equations with dense matrices. However, by using the special structure and an iterative solver the problem can be handled efficiently. To further reduce the computational cost in the calibration phase we implement a reduced order model, like proper orthogonal decomposition (POD), which proves to be very efficient. In this paper we use a special multi-level trust region POD algorithm to calibrate the option pricing model and give numerical results supporting the gain in efficiency.
Źródło:
Control and Cybernetics; 2010, 39, 3; 661-675
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
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