A numerical method for the one-dimensional sine-Gordon equation
β Scribed by A.G. Bratsos
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 256 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0749-159X
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## Abstract In this article, we propose a numerical scheme to solve the oneβdimensional undamped SineβGordon 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 method
A predictor-corrector scheme is developed for the numerical solution of the sine-Gordon equation using the method of lines approach. The solution of the approximating differential system satisfies a recurrence relation, which involves the cosine function. Pade' approximants are used to replace the c