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Paper IPM / M / 8863 |
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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 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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