Cosine expansion‐based differential quadrature algorithm for numerical solution of the RLW equation |
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| Authors: | ?dris Da? Alper Korkmaz Bülent Saka |
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| Institution: | 1. Mathematics Department, Eski?ehir Osmangazi University, 26480 Eski?ehir, Türkiye;2. Anadolu Guzel Sanatlar Lisesi, Kütahya, Türkiye |
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| Abstract: | The differential quadrature method based on cosine expansion is applied to obtain numerical solutions of the RLW equation. The propagation of single solitary wave is studied to validate the efficiency of the algorithm. Then, test problems including interaction of two and three solitary waves, undulation, and evolution of solitary waves are implemented. Solutions are compared with earlier results. Discrete conservation quantities are computed for test experiments. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2009 |
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| Keywords: | cosine expansion‐based differential quadrature differential quadrature RLW equation solitary waves undular bore wave undulation |
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