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

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.

Keywords:

Sinc-Galerkin method , elliptic partial differential equations , nonlinear problems , numerical solutions