University of Guilan Journal of Mathematical Modeling 2345-394X 5 1 2017 06 01 A numerical method for solving nonlinear partial differential equations based on Sinc-Galerkin method 27 40 2079 10.22124/jmm.2017.2079 EN Ali Zakeri Faculty of Mathematical Sciences, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran Amir Hossein Salehi Shayegan 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 Journal Article 2017 02 20 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. Sinc-Galerkin method elliptic partial differential equations nonlinear problems numerical solutions https://jmm.guilan.ac.ir/article_2079_9ed41d4df0353ca9b00dafbb90cd4c8c.pdf