A supraconvergent scheme for the Korteweg-de Vries equation |
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Authors: | Bosco García-Archilla |
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Affiliation: | (1) Departamento de Matemática Aplicada y Computación, Facultad de Ciencias, Universidad de Valladolid, E-47005 Valladolid, Spain |
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Abstract: | Summary A finite-difference method for the integration of the Korteweg-de Vries equation on irregular grids is analyzed. Under periodic boundary conditions, the method is shown to be supraconvergent in the sense that, though being inconsistent, it is second order convergent. However, such a convergence only takes place on grids with an odd number of points per period. When a grid with an even number of points is used, the inconsistency of the method leads to divergence. Numerical results backing the analysis are presented. |
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Keywords: | 65L05 65L10 |
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