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A numerical method for solving nonlinear partial differential equations based on Sinc-Galerkin method | ||
| Journal of Mathematical Modeling | ||
| مقاله 9، دوره 5، شماره 1، شهریور 2017، صفحه 27-40 اصل مقاله (359.2 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2017.2079 | ||
| نویسندگان | ||
| Ali Zakeri* ؛ Amir Hossein Salehi Shayegan؛ Fatemeh Asadollahi | ||
| Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran | ||
| چکیده | ||
| In this paper, we consider two dimensional nonlinear elliptic equations of the form $ -{\rm div}(a(u,\nabla u)) = f $. Then, in order to solve these equations on rectangular domains, we propose a numerical method based on Sinc-Galerkin method. Finally, the presented method is tested on some examples. Numerical results show the accuracy and reliability of the proposed method. | ||
| کلیدواژهها | ||
| Sinc-Galerkin method؛ elliptic partial differential equations؛ nonlinear problems؛ numerical solutions | ||
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