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

Authors

  • Ali Zakeri Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
  • Fatemeh Asadollahi 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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Journal title

volume 5  issue 1

pages  27- 40

publication date 2017-06-01

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