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.
Zakeri, A., Salehi Shayegan, A. H., & Asadollahi, F. (2017). A numerical method for solving nonlinear partial differential equations based on Sinc-Galerkin method. Journal of Mathematical Modeling, 5(1), 27-40. doi: 10.22124/jmm.2017.2079
MLA
Ali Zakeri; Amir Hossein Salehi Shayegan; Fatemeh Asadollahi. "A numerical method for solving nonlinear partial differential equations based on Sinc-Galerkin method". Journal of Mathematical Modeling, 5, 1, 2017, 27-40. doi: 10.22124/jmm.2017.2079
HARVARD
Zakeri, A., Salehi Shayegan, A. H., Asadollahi, F. (2017). 'A numerical method for solving nonlinear partial differential equations based on Sinc-Galerkin method', Journal of Mathematical Modeling, 5(1), pp. 27-40. doi: 10.22124/jmm.2017.2079
VANCOUVER
Zakeri, A., Salehi Shayegan, A. H., Asadollahi, F. A numerical method for solving nonlinear partial differential equations based on Sinc-Galerkin method. Journal of Mathematical Modeling, 2017; 5(1): 27-40. doi: 10.22124/jmm.2017.2079
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