Non-separable splines and numerical computation of evolution equations by the Galerkin methods |
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Authors: | Toshihide Ueno Masami Okada |
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Institution: | Department of Mathematics, Tokyo Metropolitan University, Hachioji, Japan |
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Abstract: | We construct new non-separable splines and we apply the spline sampling approximation to the computation of numerical solutions of evolution equations. The non-separable splines are basis functions which give a fine sampling approximation which enables us to compute numerical solutions by means of the method of lines combined with the Galerkin method. To demonstrate our approach we compute numerical solutions of the Burgers equation and the Kadomtsev–Petviashvili equation. |
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Keywords: | 41A15 35L60 65N40 65M70 |
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