Online ISSN: 2515-8260

Keywords : Collocation

Meshfree Technique For The Solution Of Sine-Gordan Equation

Gurpreet Singh; Geeta Arora

European Journal of Molecular & Clinical Medicine, 2020, Volume 7, Issue 7, Pages 3420-3424

In this manuscript, a meshless technique based on radial basis function is used for solving the Sine-Gordan equation. Radial basis function combined with pseudospectral approach is used to solve the nonlinear Sine-Gordan equation. The given equation is transformed to a system of ODEs with the help of radial basis function then an ODE solver is used to solve the transformed ODEs. Numerical example is established to showcase the validness and efficiency of the method. Error norms are calculated to check the accuracy. The obtained numerical results are in good accord with the exact solution existed in literature.