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Paper   IPM / M / 8863
School of Mathematics
  Title:   A numerical method for one-dimensional nonlinear Sine-Gordon equation using collocation and radial basis functions
  Author(s):  M. Dehghan (Joint with A. Shokri)
  Status:   Published
  Journal: Numer. Methods Partial Differential Eq.
  Vol.:  24
  Year:  2008
  Pages:   687-698
  Supported by:  IPM
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 func�tion (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.

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