Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

Wyszukujesz frazę "decomposition method" wg kryterium: Temat


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:
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:
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:
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:
Stabilized model reduction for nonlinear dynamical systems through a contractivity-preserving framework
Autorzy:
Chaturantabut, Saifon
Powiązania:
https://bibliotekanauki.pl/articles/1838159.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
model order reduction
ordinary differential equation
partial differential equation
proper orthogonal decomposition
discrete empirical interpolation method
redukcja rzędu modelu
równanie różniczkowe zwyczajne
równanie różniczkowe cząstkowe
rozkład ortogonalny
Opis:
This work develops a technique for constructing a reduced-order system that not only has low computational complexity, but also maintains the stability of the original nonlinear dynamical system. The proposed framework is designed to preserve the contractivity of the vector field in the original system, which can further guarantee stability preservation, as well as provide an error bound for the approximated equilibrium solution of the resulting reduced system. This technique employs a low-dimensional basis from proper orthogonal decomposition to optimally capture the dominant dynamics of the original system, and modifies the discrete empirical interpolation method by enforcing certain structure for the nonlinear approximation. The efficiency and accuracy of the proposed method are illustrated through numerical tests on a nonlinear reaction diffusion problem.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 4; 615-628
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decomposition Analysis of the Greenhouse Gas Emissions in the European Union
Analiza rozkładu emisji gazów cieplarnianych w krajach Unii Europejskiej
Autorzy:
Drastichová, M.
Powiązania:
https://bibliotekanauki.pl/articles/371404.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Komitet Człowiek i Środowisko PAN
Tematy:
decomposition
climate change
European Union (EU)
Greenhouse Gas Emissions (GHGs)
Log-Mean Divisia Index Method (LMDI)
Kyoto Protocol
sustainable development
JEL Classification
dekompozycja
zmiany klimatyczne
Unia Europejska
emisja gazów cieplarnianych
metoda LMDI
Protokół z Kioto
rozwój zrównoważony
Opis:
Climate change is a significant threat to sustainable development (SD). Using the Log-Mean Divisia Index Method (LMDI) a decomposition of the data on the greenhouse gas (GHG) emissions in the European Union (EU) in 2000 -2013 is carried out. To detect if decoupling of the environmental variable represented by the GHG emissions from the economic variable represented by the GDP was taking place in the EU economy, the changes of the GHG emissions were divided into three effects. These factors include the economic activity (scale), the composition or structure of the EU economy with respect to the countries, and GHG intensity of the countries. The aim of the paper is to detect if decoupling of the GHG emissions from the GDP development in the EU took place and to detect the factors of this development. The intensity effect was mainly responsible for the reduction of the GHG emissions in the EU while the scale effect contributed to their increase. The role of the composition effect was only marginal; however, it was positive. As the intensity effect often showed the high negative values, the total effect was often negative as well, which means that decoupling of GHG emissions from GDP took place.
Zmiany klimatyczne stanowią istotne zagrożenie dla zrównoważonego rozwoju (ZR). Przy pomocy metody LMDI przeprowadzono analizę rozkładu emisji gazów cieplarnianych w krajach Unii Europejskiej (UE) w okresie lat 2010-2013. Aby sprawdzić, czy decoupling zmiennej środowiskowej reprezentowanej przez emisję gazów cieplarnianych od zmiennej ekonomicznej reprezentowanej przez PKB w kontekście zmian emisji gazów cieplarnianych zachodzi we Wspólnocie, uwzględniono następujące efekty: aktywność ekonomiczną (skalę), skład i strukturę europejskiej ekonomii z uwzględnieniem różnic charakterystycznych dla poszczególnych krajów i poziomu ich emisji gazów cieplarnianych. Celem artykułu jest potwierdzenie, czy decoupling emisji gazów cieplarnianych od wzrostu PKB faktycznie zachodzi i jakie czynniki na niego wpływają. Efekt intensywności okazał się być odpowiedzialny głównie za zmniejszenie emisji gazów cieplarnianych w Europie, podczas gdy efekt skali przyczyniał się do wzrostu tej emisji. Efekt struktury odgrywał rolę marginalną, choć pozytywną. Efekt intensywności zwykle charakteryzował się wysokimi wartościami ujemnymi, to samo odnosiło się do efektu całkowitego, co oznacza, że decoupling emisji gazów cieplarnianych od PKB faktycznie zachodzi.
Źródło:
Problemy Ekorozwoju; 2017, 12, 2; 27-35
1895-6912
Pojawia się w:
Problemy Ekorozwoju
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the extrapolated VMS-POD method for incompressible flows
Ekstrapolacyjna metoda VMS-POD dla nieściślliwych przepływów
Autorzy:
Eroglu, Fatma G.
Kaya, Songul
Powiązania:
https://bibliotekanauki.pl/articles/29520310.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
proper orthogonal decomposition
extrapolated Crank-Nicholson
reduced-order modelling
projection-based variational multiscale
finite element method
rozkład ortogonalny
modelowanie zredukowane
metoda elementów skończonych
Opis:
In this study, proper orthogonal decomposition based reduced-order modelling and variational multiscale stabilization method are utilized for the incompressible Navier-Stokes equations. In addition, the difficulties resulting from nonlinearity are eliminated using the extrapolation. Theoretical analysis of the method is presented. To check the efficiency of the proposed method, we utilize the test problem of 2D channel flow past a cylinder.
W artykule zastosowano obniżenie rzędu modelu i wariacyjną wieloskalową stabilizacię, wykorzystujące ortogonalną dekompozycję, do rozwiązania równania Naviera-Stokesa dla nieściśliwych płynów. Trudności wynikające z nieliniowości wyeliminowano poprzez zastosowanie ekstrapolacji. W pracy opisano teoretyczne podstawy metody. W celu sprawdzenia wydajności opracowanej metody zastosowano ję do testowego problemu przepływu 2D przez cylindryczny kanał.
Źródło:
Computer Methods in Materials Science; 2019, 19, 2; 70-77
2720-4081
2720-3948
Pojawia się w:
Computer Methods in Materials Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
3D Multi-Domain MFS Analysis of Sound Pressure Level Reduction Between Connected Enclosures
Autorzy:
Godinho, L.
Branco, F. G.
Mendes P., A.
Powiązania:
https://bibliotekanauki.pl/articles/177013.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Method of Fundamental Solutions (MFS)
domain decomposition
closed spaces
sound pressure level reduction
Opis:
In this paper, the authors study the 3D propagation of sound waves between two closed spaces. The separation element between the two rooms is considered to include either a small opening or a homogeneous lightweight panel, coupling the two spaces. A numerical study of this configuration is performed, trying to understand the influence of the position and geometry of this opening in the sound pressure level reduction curve at low and midfrequencies. Additionally, the coupling effect between the two acoustic spaces is analyzed, in order to better understand its importance when determining the sound pressure level reduction. Different boundary conditions are ascribed to the walls of these rooms, simulating both the completely reflecting and partially absorbing surfaces. The numerical modelling was performed using a multi-domain formulation of the Method of Fundamental Solutions (MFS). The system is composed of two coupled rooms, limited by rigid or by absorbing walls, and separated by a thin wall (tending to null thickness) with a small opening. An experimental validation of the proposed model is presented, comparing its results with those found experimentally for a reduced-scale model. It is important to note that, for such a configuration, a traditional single-domain approach using methods like the MFS or the BEM would lead to undetermined equation systems, and thus the proposed model makes use of a domain decomposition technique.
Źródło:
Archives of Acoustics; 2011, 36, 3; 575-601
0137-5075
Pojawia się w:
Archives of Acoustics
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:
The Preparation of NC Microspheres and BuNENA Modified NC Microspheres by the Breath Figures Method
Autorzy:
He, L.
He, W.
Luo, Y.
Powiązania:
https://bibliotekanauki.pl/articles/358176.pdf
Data publikacji:
2016
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Przemysłu Organicznego
Tematy:
breath figures method
thermal decomposition
NC microspheres
BuNENA modified NC microspheres
Opis:
The ‘breath figures’ method was used to prepare nitrocellulose (NC) microspheres and N-butyl-N-(2-nitroxyethyl)nitramine (BuNENA) modified NC microspheres (BMNM). By using acetone as the solvent and non-solvent n-hexane as the atmosphere, NC microspheres and BMNM were obtained. The matching of solvents and non-solvents was the key factor influencing the final morphology. TG and DSC were employed to study the thermal decomposition characteristics of BMNM. The results suggested that there were two distinct stages of thermal mass loss from the BMNM: the first was the mass loss associated with partial volatilisation of BuNENA, and its activation energy was 68.54 kJ/mol. The second mass loss was the thermal decomposition of NC and residual BuNENA with a high activation energy (249.53 kJ/mol, calculated by the Kissinger method). According to the thermal decomposition kinetics model, the optimal kinetics model of BMNM was B1-A2. The addition of BuNENA did not influence the thermal decomposition of NC.
Źródło:
Central European Journal of Energetic Materials; 2016, 13, 3; 567-578
1733-7178
Pojawia się w:
Central European Journal of Energetic Materials
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:
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:
A fast neural network learning algorithm with approximate singular value decomposition
Autorzy:
Jankowski, Norbert
Linowiecki, Rafał
Powiązania:
https://bibliotekanauki.pl/articles/330870.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
Moore–Penrose pseudoinverse
radial basis function network
extreme learning machine
kernel method
machine learning
singular value decomposition
deep extreme learning
principal component analysis
pseudoodwrotność Moore–Penrose
radialna funkcja bazowa
maszyna uczenia ekstremalnego
uczenie maszynowe
analiza składników głównych
Opis:
The learning of neural networks is becoming more and more important. Researchers have constructed dozens of learning algorithms, but it is still necessary to develop faster, more flexible, or more accurate learning algorithms. With fast learning we can examine more learning scenarios for a given problem, especially in the case of meta-learning. In this article we focus on the construction of a much faster learning algorithm and its modifications, especially for nonlinear versions of neural networks. The main idea of this algorithm lies in the usage of fast approximation of the Moore–Penrose pseudo-inverse matrix. The complexity of the original singular value decomposition algorithm is O(mn2). We consider algorithms with a complexity of O(mnl), where l < n and l is often significantly smaller than n. Such learning algorithms can be applied to the learning of radial basis function networks, extreme learning machines or deep ELMs, principal component analysis or even missing data imputation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 3; 581-594
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
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:
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

Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies