Temat: difference scheme - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Explicit Finite-Difference Scheme for the Numerical Solution of the Model Equation of Nonlinear Hereditary Oscillator with Variable-Order Fractional Derivatives
Autorzy:: Parovik, R. I.
Powiązania:: https://bibliotekanauki.pl/articles/229615.pdf
Data publikacji:: 2016
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: nonlinear hereditary oscillator
finite difference scheme
Cauchy problem
fractional derivatives
numerical experiment
Opis:: The paper deals with the model of variable-order nonlinear hereditary oscillator based on a numerical finite-difference scheme. Numerical experiments have been carried out to evaluate the stability and convergence of the difference scheme. It is argued that the approximation, stability and convergence are of the first order, while the scheme is stable and converges to the exact solution
Źródło:: Archives of Control Sciences; 2016, 26, 3; 429-435
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: A finite difference method for nonlinear parabolic-elliptic systems of second-order partial differential equations
Autorzy:: Malec, M.
Sapa, L.
Powiązania:: https://bibliotekanauki.pl/articles/255499.pdf
Data publikacji:: 2007
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: partial differential equation
parabolic-elliptic system
finite difference method
finite difference scheme
consistence
convergence
stability
error estimate
uniqueness
Opis:: This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions. One part of each system is of the parabolic type (degenerated parabolic equations) and the other of the elliptic type (equations with a parameter) in a cube in R1+n. A suitable finite difference scheme is constructed. It is proved that the scheme has a unique solution, and the numerical method is consistent, convergent and stable. The error estimate is given. Moreover, by the method, the differential problem has at most one classical solution. The proof is based on the Banach fixed-point theorem, the maximum principle for difference functional systems of the parabolic type and some new difference inequalities. It is a new technique of studying the mixed-type systems. Examples of physical applications and numerical experiments are presented.
Źródło:: Opuscula Mathematica; 2007, 27, 2; 259-289
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Implicit solution of 1d nonlinear porous medium equation using the four-point Newton- EGMSOR iterative method
Autorzy:: Chew, J. V. L.
Sulaiman, J.
Powiązania:: https://bibliotekanauki.pl/articles/122819.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: porous medium equation
finite difference scheme
Newton method
Explicit Group
MSOR
równania różniczkowe cząstkowe
metoda różnic skończonych
metoda Newtona
Opis:: The numerical method can be a good choice in solving nonlinear partial differential equations (PDEs) due to the difficulty in finding the analytical solution. Porous medium equation (PME) is one of the nonlinear PDEs which exists in many realistic problems. This paper proposes a four-point Newton-EGMSOR (4-Newton-EGMSOR) iterative method in solving 1D nonlinear PMEs. The reliability of the 4-Newton-EGMSOR iterative method in computing approximate solutions for several selected PME problems is shown with comparison to 4-Newton-EGSOR, 4-Newton-EG and Newton-Gauss-Seidel methods. Numerical results showed that the proposed method is superior in terms of the number of iterations and computational time compared to the other three tested iterative methods.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 11-21
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Finite difference method for the fractional order pseudo telegraph integro-differential equation
Autorzy:: Modanli, Mahmut
Ozbag, Fatih
Akgül, Ali
Powiązania:: https://bibliotekanauki.pl/articles/2175509.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: pseudo telegraph equation
integro-differential equation
finite difference scheme
stability analysis
równanie całkowo-różniczkowe
metoda różnic skończonych
analiza stabilności
Opis:: The main goal of this paper is to investigate the numerical solution of the fractional order pseudo telegraph integro-differential equation. We establish the first order finite difference scheme. Then for the stability analysis of the constructed difference scheme, we give theoretical statements and prove them. We also support our theoretical statements by performing numerical experiments for some fractions of order α.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 1; 41--54
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Third order singularly perturbed delay differential equation of reaction diffusion type with integral boundary condition
Autorzy:: Sekar, Elango
Tamilselvan, Ayyadurai
Powiązania:: https://bibliotekanauki.pl/articles/122568.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: singular perturbation problem
finite difference scheme
delay
integral boundary condition
error estimate
schemat różnic skończonych
opóźnienie
oszacowanie błędu
metoda numeryczna
metoda równań skończonych
Opis:: A class of third order singularly perturbed delay differential equations of reaction diffusion type with an integral boundary condition is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The method suggested is of almost first order convergent. An error estimate is derived in the discrete norm. Numerical examples are presented, which validate the theoretical estimates.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 2; 99-110
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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