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A numerical method for one-dimensional nonlinear Sine-Gordon equation using collocation and radial basis functions

✍ Scribed by M. Dehghan; Ali Shokri

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
313 KB
Volume
24
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

In this article, we propose a numerical scheme to solve the one‐dimensional undamped Sine‐Gordon equation using collocation points and approximating the solution using Thin Plate Splines (TPS) radial basis function (RBF). The scheme works in a similar fashion 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.Β© 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008

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## Abstract This article discusses on the solution of the regularized long wave (RLW) equation, which is introduced to describe the development of the undular bore, has been used for modeling in many branches of science and engineering. A numerical method is presented to solve the RLW equation. The