THE MESHLESS METHODS FOR NUMERICAL SOLUTION OF THE NONLINEAR KLEIN-GORDON EQUATION

THE MESHLESS METHODS FOR NUMERICAL SOLUTION OF THE NONLINEAR KLEIN-GORDON EQUATION

J. Rashidinia, Y. Karmipour, O. Nikan

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Abstract

In this paper, we develop the numerical solution of nonlinear Klein-Gordon equation (NKGE) using the meshless methods. The nite dierence scheme and the radial basis functions (RBFs) collocation methods are used to discretize time derivative and spatial derivatives, respectively. Numerical results are given to conrm the accuracy and eciency of the presented schemes.

Keywords

Klein-Gordon equation; RBF; RBF-PS; Collocation method