Quartic B‐spline collocation algorithms for numerical solution of the RLW equation |
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| Authors: | Bülent Saka ?dris Da? |
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| Institution: | 1. Mathematics and Computer Engineering Departments, Eski?ehir Osmangazi University, 26480, Eski?ehir, TurkeyMathematics Department, Science and Art Faculty, Eski?ehir Osmangazi University, 24680, Eski?ehir, Turkey;2. Mathematics and Computer Engineering Departments, Eski?ehir Osmangazi University, 26480, Eski?ehir, Turkey |
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| Abstract: | The collocation method based on quartic B‐spline interpolation is studied for numerical solution of the regularized long wave (RLW) equation. The time‐split RLW equation is also solved with the quartic B‐spline collocation method. Numerical accuracy is tested by obtaining the single solitary wave solution. Then, interaction, undulation and evolution of solitary waves are studied. Solutions are compared with available results. Conservation quantities are computed for all test experiments. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2007 |
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| Keywords: | RLW equation collocation solitary waves quartic B‐splines undular bore |
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