Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1140250 | Mathematics and Computers in Simulation | 2008 | 16 Pages |
Abstract
The nonlinear sine-Gordon equation arises in various problems in science and engineering. In this paper, we propose a numerical scheme to solve the two-dimensional damped/undamped sine-Gordon equation. The proposed scheme is based on using collocation points and approximating the solution employing the thin plate splines (TPS) radial basis function (RBF). The new scheme works in a similar fashion as finite difference methods. Numerical results are obtained for various cases involving line and ring solitons.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Mehdi Dehghan, Ali Shokri,