Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640941 | Journal of Computational and Applied Mathematics | 2009 | 11 Pages |
Abstract
The nonlinear Klein–Gordon equation is used to model many nonlinear phenomena. In this paper, we propose a numerical scheme to solve the one-dimensional nonlinear Klein–Gordon equation with quadratic and cubic nonlinearity. Our scheme uses the collocation points and approximates the solution using Thin Plate Splines (TPS) radial basis functions (RBF). The implementation of the method is simple as finite difference methods. The results of numerical experiments are presented, and are compared with analytical solutions to confirm the good accuracy of the presented scheme.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mehdi Dehghan, Ali Shokri,