Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
This article presents a numerical approximation of the initial-boundary nonlinear coupled viscous Burgers’ equation based on spectral methods. A Jacobi-Gauss-Lobatto collocation (J-GL-C) scheme in combination with the implicit Runge-Kutta-Nyström (IRKN) scheme are employed to obtain highly accurate approximations to the mentioned problem. This J-GL-C method, based on Jacobi polynomials and Gauss-Lobatto quadrature integration, reduces solving the nonlinear coupled viscous Burgers’ equation to a system of nonlinear ordinary differential equation which is far easier to solve. The given examples show, by selecting relatively few J-GL-C points, the accuracy of the approximations and the utility of the approach over other analytical or numerical methods. The illustrative examples demonstrate the accuracy, efficiency, and versatility of the proposed algorithm.
Czasopismo
Rocznik
Tom
Numer
Strony
111-122
Opis fizyczny
Daty
wydano
2014-02-01
online
2014-02-15
Twórcy
autor
- Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt, eiddoha@frcu.eun.eg
autor
autor
- Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt, melkawy@yahoo.com
autor
- Department of Basic Science, Institute of Information Technology, Modern Academy, Cairo, Egypt, r_mhafez@yahoo.com
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0429-z