A numerical method for solving nonlinear partial differential equations based on Sinc-Galerkin method

Document Type: Research Paper

Authors

Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran

Abstract

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.

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