Informacja

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

English (EN)·Polski (PL)·Yкраїнський (UK)
Przejdź do strony domowej biblioteki Centralna Biblioteka Wojskowa Link otwiera się w nowym oknie Logo biblioteki Prolib Integro - strona głównaCentralna Biblioteka Wojskowa

Wyszukujesz frazę "integral equation" wg kryterium: Temat

  Lista filtrów

Dostawca treści

Wyrównaj
Wyświetlanie 1-15 z 109
Tytuł:
Identification of polygonal domains using PIES in inverse boundary problems modeled by 2D Laplaces equation
Autorzy:
Zieniuk, E.
Bołtuć, A.
Powiązania:
https://bibliotekanauki.pl/articles/1964153.pdf
Data publikacji:
2005
Wydawca:
Politechnika Gdańska
Tematy:
parametric integral equation system (PIES)
inverse problems
Laplace's equation
Opis:
The paper presents an original method to identify polygonal boundary geometry in 2D boundary problems defined by Laplace's equation using a parametric integral equation system (PIES). In the PIES, the polygonal boundary shape is defined mathematically by means of parametric linear segments, with a small number of corner points being posed. Identification of the polygonal boundary is reduced to identification of the corner points. Finally, the solution of the problem is reduced to the solution of a non-linear system of algebraic equations. Coordinates of identified corner points are obtained after solving the system of equations.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2005, 9, 4; 415-426
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
nu-spline curves for boundary geometry modeling in two-dimensional potential boundary value problems with singular corner points
Autorzy:
Zieniuk, E.
Powiązania:
https://bibliotekanauki.pl/articles/1931590.pdf
Data publikacji:
2002
Wydawca:
Politechnika Gdańska
Tematy:
parametric integral equation system
boundary integral equation
potential problem
nu-spline
Opis:
The paper presents a new modeling method of boundary geometry in boundary value-problems by nu-spline curves. To define a smooth boundary geometry both Bezier and B-spline curves are applied. At the segment join points Bezier curves ensure continuity C1, and B-spline curves allow us to maintain continuity C2. However, the curves hinder boundary modeling with corner points. In order to weaken the continuity at segment join points nu-spline curves are proposed. These curves are combined analytically with the Green formula, thus yielding the Parametric Integral Equation System (PIES). To solve the PIES a pseudospectral method is used. The results obtained for the domains with singular corner points are compared with the corresponding non-singular ones as defined by the nu-spline curves.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2002, 6, 4; 641-650
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The identification of the boundary geometry with corner points in inverse two-dimensional potential problems
Autorzy:
Zieniuk, E.
Gabrel, W.
Powiązania:
https://bibliotekanauki.pl/articles/1931586.pdf
Data publikacji:
2002
Wydawca:
Politechnika Gdańska
Tematy:
inverse boundary value problem
boundary geometry identification
geometry
parametric integral equation system
finite element method
boundary element method
evolution algorithm
genetic algorithms
Opis:
The paper presents fragment of a larger study concerning the effective methods of solving the inverse boundary value problems. The boundary value problem described here is formulated as a problem of the identification of a boundary geometry with corner points. A method using a parametric integral equations system (PIES) is proposed. PIES used in the method makes the easy modelling of the geometry with corner points possible. This effect is obtained by the application of modified splines. An evolution algorithm is used for the effective control of modifications of the boundary geometry. Some experimental tests of the efficiency of the discussed method were performed for two-dimensional inverse potential problems.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2002, 6, 4; 651-660
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical modelling of stationary thermoelastic state for a plate with periodic system of inclusions and cracks
Autorzy:
Zelenyak, Volodymyr
Powiązania:
https://bibliotekanauki.pl/articles/387384.pdf
Data publikacji:
2019
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
stress intensity factor
singular integral equation
inclusion
heat conduction
thermoelasticity
crack
Opis:
Two-dimensional stationary problem of heat conduction and thermoelasticity for infinite elastic body containing periodic system of inclusions and cracks is considered. Solution of the problem is constructed using the method of singular integral equations (SIEs). The numerical solution of the system integral equations are obtained by the method of mechanical quadrature for a plate heated by a heat flow, containing periodic system elliptic inclusions and thermally insulated cracks. There are obtained graphic dependences of stress intensity factors (SIFs), which characterise the distribution of intensity of stresses at the tops of a crack, depending on the length of crack, elastic and thermoelastic characteristics inclusion, relative position of crack and inclusion.
Źródło:
Acta Mechanica et Automatica; 2019, 13, 1; 11-15
1898-4088
2300-5319
Pojawia się w:
Acta Mechanica et Automatica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Solutions and Optical Soliton Solutions of the Nonlinear Biswas-Milovic Equation with Dual-Power Law Nonlinearity
Autorzy:
Zayed, E.
Al-Nowehy, A.
Powiązania:
https://bibliotekanauki.pl/articles/1030336.pdf
Data publikacji:
2017-02
Wydawca:
Polska Akademia Nauk. Instytut Fizyki PAN
Tematy:
first integral method
rational (G'/G)-expansion method
Biswas-Milovic equation
solitary wave solutions
exact solutions and optical soliton solutions
Opis:
In this article, we apply two mathematical tools, namely the first integral method and the rational (G'/G)-expansion method to construct the exact solutions with parameters of the nonlinear Biswas-Milovic equation with dual-power law nonlinearity. When these parameters take special values, the solitary wave solutions are derived from the exact solutions. We compare between the results yielding from these integration tools. A comparison between our results in this paper and the well-known results is also given.
Źródło:
Acta Physica Polonica A; 2017, 131, 2; 240-251
0587-4246
1898-794X
Pojawia się w:
Acta Physica Polonica A
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Developing a new approach in diagnostic methods of technical state of propeller of gas pumping unit
Autorzy:
Zamikhovskyi, L.
Ivanyuk, N.
Powiązania:
https://bibliotekanauki.pl/articles/298946.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
blade
gas flow
integral equation
airfoil
aerodynamic characteristics
wear
Opis:
To estimate the influence of changes in aerodynamic and shape characteristics of propellers of the gas pumping unit on process variables of gas pumping unit using the mathematical modeling methods. The method theoretically based Fredholm equation of the second kind for the tangential velocity component, its computational solution, and estimation of aerodynamical characteristics of airfoil of blades in special chosen frame of reference depending on the airfoil and attack angle. For the estimation of influence of shape configuration changes, which are determined by the configuration of blades of propeller on vibration characteristics of blades, cross-sectional area of blades and its second moment the numerical methods are used. Different methods of reproducing of shape configuration of airfoil of blades using experimental data of coordinates of relevant set points of airfoil are considered. Theoretical results could be used in the research and estimation of influences of configuration blade change and quantity of strained blades on the productivity of pumping units. The conducted research and its results can be the basis of creating of new non-destructive testing methods for gas pumping units and creating a new system of control. Shown results allow increasing operational reliability of facilities that were under research and systems, which can be helpful for Ukrainian gas and oil industry facilities.
Źródło:
AGH Drilling, Oil, Gas; 2013, 30, 2; 345-351
2299-4157
2300-7052
Pojawia się w:
AGH Drilling, Oil, Gas
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some application of biorthogonal spline systems to integral equations
Autorzy:
Wronicz, Z.
Powiązania:
https://bibliotekanauki.pl/articles/255125.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
operator associated with step functions
B-splines
integral equation
approximation
Opis:
We consider an operator PN : LP(I) -> Sn(deltaN), such that PN f = f for f mem Sn(deltaN), where Sn(deltaN) is the space of splines of degree n with repect to a given partition deltaN of the interval I. This operator is defined by means of a system of step functions biorthogonal to B-splines. Then we use this operator to approximation to the solution of the Fredholm integral equation of the second kind. Convergence rates for the aproximation of the solution of this equation are given.
Źródło:
Opuscula Mathematica; 2005, 25, 1; 149-160
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extrapolation of Electromagnetic Response from Linear Antennas in Time Domain without Late-Time Instabilities in Numerical Solution of EFI Equation
Autorzy:
Witenberg, Anna
Powiązania:
https://bibliotekanauki.pl/articles/308882.pdf
Data publikacji:
2020
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
electric field integral equation (EFIE)
linear antenna
solution of time domain EFIE
late time instabilities
Opis:
The paper presents a new hybrid method relied upon to solve integral equations of the electric field in time domain and to model linear antennas with pulse excitation. The method consists in a mixed, numerical-analytical description of the process that helps maintain the stability of calculations during the late time phase. As described in the analytical part, the modified spherical Bessel function of the first kind allows for extrapolation with a high degree of accuracy and loworder expressions. The modified spherical Bessel functions of the first kind are of the oscillating character, and their combination with the exponential factor makes them convenient for extrapolation of the answer of the antenna with pulse excitation. New functions are introduced to computational practice.
Źródło:
Journal of Telecommunications and Information Technology; 2020, 2; 45-50
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Odpowiedzi prądowe w układzie dwóch anten liniowych ze szczególnym uwzględnieniem redukcji późnoczasowych niestabilności
Autorzy:
Witenberg, A.
Walkowiak, M.
Powiązania:
https://bibliotekanauki.pl/articles/118390.pdf
Data publikacji:
2013
Wydawca:
Politechnika Koszalińska. Wydawnictwo Uczelniane
Tematy:
anteny liniowe
całkowe równanie pola elektrycznego
metoda postępu w czasie
MOT
równanie Hallena w dziedzinie czasu
linear antenna
electric field integral equation
EFIE
solution of time domain EFIE
late time instabilities
marching-on in time method
Hallen’s equation in time domain
Opis:
W artykule przedstawiono wyniki modelowania w dziedzinie czasu układu dwóch anten liniowych za pomocą układu całkowych równań Hallena. Do wyznaczenia odpowiedzi prądowych anten wykorzystano powszechnie stosowaną metodę postępu w czasie (metoda MOT) oraz schemat Galerkina-Bubnova. Wyniki modelowania potwierdzają słuszność przyjętych założeń o bezpośrednim wpływie długości kroków czasowych przyjętych w obliczeniach i położenia anten względem siebie na wielkość niestabilności pojawiających się w późnoczasowych odpowiedziach prądowych badanych obiektów.
This article is focused on modeling of two interacting thin-wire antennas in time domain. The time-domain antenna theory formulation is based on a set of the space-time Hallen integral equations. We used the marching-on in time (MOT) method and GalerkinBubnov procedure to obtain a transient responses of antennas. An analytic formulation to study the reception process, at an oblique angle of incidence, of a wire antennas excited by a transient electric fields (short Gaussian pulses) is proposed. The length of time steps and angles of incidence influences the stability of the MOT algorithm. These facts are discussed and demonstrated in numerical results.
Źródło:
Zeszyty Naukowe Wydziału Elektroniki i Informatyki Politechniki Koszalińskiej; 2013, 5; 23-36
1897-7421
Pojawia się w:
Zeszyty Naukowe Wydziału Elektroniki i Informatyki Politechniki Koszalińskiej
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractional heat conduction in a rectangular plate with bending moments
Autorzy:
Warbhe, Shrikant
Powiązania:
https://bibliotekanauki.pl/articles/1839729.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Mittag-Leffler function
integral transform
fractional partial differential equation
fractional derivatives
fractional integrals
ułamkowe równanie różniczkowe cząstkowe
funkcja Mittag-Lefflera
pochodna ułamkowa
naprężenia termiczne
przewodzenia ciepła
transformata całkowa
Opis:
In this research work, we consider a thin, simply supported rectangular plate defined as 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ c and determine the thermal stresses by using a thermal bending moment with the help of a time dependent fractional derivative. The constant temperature is prescribed on the surface y = 0 and other surfaces are maintained at zero temperature. A powerful technique of integral transform is used to find the analytical solution of initial-boundary value problem of a thin rectangular plate. The numerical result of temperature distribution, thermal deflection and thermal stress component are computed and represented graphically for a copper plate.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 115-126
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractional heat conduction in a rectangular plate with bending moments
Autorzy:
Warbhe, Shrikant
Powiązania:
https://bibliotekanauki.pl/articles/1839752.pdf
Data publikacji:
2020
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
Mittag-Leffler function
integral transform
fractional partial differential equation
fractional derivatives
fractional integrals
ułamkowe równanie różniczkowe cząstkowe
funkcja Mittag-Lefflera
pochodna ułamkowa
naprężenia termiczne
przewodzenia ciepła
transformata całkowa
Opis:
In this research work, we consider a thin, simply supported rectangular plate defined as 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ c and determine the thermal stresses by using a thermal bending moment with the help of a time dependent fractional derivative. The constant temperature is prescribed on the surface y = 0 and other surfaces are maintained at zero temperature. A powerful technique of integral transform is used to find the analytical solution of initial-boundary value problem of a thin rectangular plate. The numerical result of temperature distribution, thermal deflection and thermal stress component are computed and represented graphically for a copper plate.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 4; 115-126
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized PI observer design for descriptor linear system
Autorzy:
Wang, Xin-Tao
Yu, Hai-Hua
Powiązania:
https://bibliotekanauki.pl/articles/229300.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
generalized proportional-integral observer
Sylvester matrix equation
regularity
impulse-freeness
Opis:
A kind of generalized proportional-integral (GPI) observer for descriptor linear systems is introduced. We first propose two complete parametric solutions to generalized Sylvester matrix equation corresponding to the left eigenvector matrices in the case of Jordan form. Then a parametric design approach for the observer is presented. The proposed method provides all parametric expression of the gain matrices and the corresponding finite left eigenvector matrix and guarantees the regularity and impulse-freeness of the expanded error system. Two numerical examples are given to explain the design procedure and illustrate the effectiveness of the proposed method.
Źródło:
Archives of Control Sciences; 2019, 29, 4; 585-601
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniform stress field inside a non-parabolic open inhomogeneity interacting with a mode III crack
Autorzy:
Wang, X.
Schiavone, P.
Powiązania:
https://bibliotekanauki.pl/articles/38612202.pdf
Data publikacji:
2021
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
non-parabolic inhomogeneity
mode III crack
uniform stress field
antiplane elasticity
conformal mapping
singular integral equation
Opis:
Using conformal mapping techniques, analytic continuation and the theory of Cauchy singular integral equations, we prove that a non-parabolic open inhomogeneity embedded in an elastic matrix subjected to a uniform remote anti-plane stress nevertheless admits an internal uniform stress field despite the presence of a finite mode III crack in its vicinity. Our analysis indicates that: (i) the internal uniform stress field is independent of the specific shape of the inhomogeneity and the presence of the finite crack; (ii) the existence of the finite crack plays a key role in the non-parabolic open shape of the inhomogeneity and in the non-uniform stresses in the surrounding matrix; (iii) the two-term asymptotic expansion at infinity of the stress field in the matrix is independent of the presence of the finite crack. Detailed numerical results are presented to demonstrate the proposed theory.
Źródło:
Archives of Mechanics; 2021, 73, 1; 67-81
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pseudo-differential equations and conical potentials: 2-dimensional case
Autorzy:
Vasilyev, Vladimir B.
Powiązania:
https://bibliotekanauki.pl/articles/255700.pdf
Data publikacji:
2019
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
pseudo-differential equation
wave factorization
Dirichlet problem
system of linear integral equations
Opis:
We consider two-dimensional elliptic pseudo-differential equation in a plane sector. Using a special representation for an elliptic symbol and the formula for a general solution we study the Dirichlet problem for such equation. This problem was reduced to a system of linear integral equations and then after some transformations to a system of linear algebraic equations. The unique solvability for the Dirichlet problem was proved in Sobolev-Slobodetskii spaces and a priori estimate for the solution is given.
Źródło:
Opuscula Mathematica; 2019, 39, 1; 109-124
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vzaimodejjstvie garmonicheskikh voln s tonkim uprugim krugovym vkljucheniem v uslovijakh polnogo sceplenija s matricejj
Interaction of harmonic waves with a thin elastic circular inclusion in conditions clutch full matrix
Autorzy:
Vakhonina, L.
Powiązania:
https://bibliotekanauki.pl/articles/77875.pdf
Data publikacji:
2015
Wydawca:
Komisja Motoryzacji i Energetyki Rolnictwa
Tematy:
inclusion
stress concentration
cylindrical wave
longitudinal wave
integral equation
Fredholm's integral equation
Źródło:
Motrol. Motoryzacja i Energetyka Rolnictwa; 2015, 17, 2
1730-8658
Pojawia się w:
Motrol. Motoryzacja i Energetyka Rolnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 109

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