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Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions

Ayşe Gül Kaplan1, Yılmaz Dereli

Anadolu University, Mathematics Department, 26470, Eskişehir, Turkey. agkaplan@anadolu.edu.tr, ydereli@anadolu.edu.tr

Computer Modeling in Engineering & Sciences 2012, 84(5), 423-438. https://doi.org/10.3970/cmes.2012.084.423

Abstract

In this study, the nonlinear symmetric regularized long wave equation was solved numerically by using radial basis functions collocation method. The single solitary wave solution, the interaction of two positive solitary waves and the clash of two solitary waves were studied. Numerical results and simulations of the wave motions were presented. Validity and accuracy of the method was tested by compared with results in the literature.

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Kaplan, A. G., Dereli, Y. (2012). Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions. CMES-Computer Modeling in Engineering & Sciences, 84(5), 423–438.



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