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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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APA Style
Kaplan, A.G., Dereli, Y. (2012). Numerical solutions of the symmetric regularized long wave equation using radial basis functions. Computer Modeling in Engineering & Sciences, 84(5), 423-438. https://doi.org/10.3970/cmes.2012.084.423
Vancouver Style
Kaplan AG, Dereli Y. Numerical solutions of the symmetric regularized long wave equation using radial basis functions. Comput Model Eng Sci. 2012;84(5):423-438 https://doi.org/10.3970/cmes.2012.084.423
IEEE Style
A.G. Kaplan and Y. Dereli, “Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions,” Comput. Model. Eng. Sci., vol. 84, no. 5, pp. 423-438, 2012. https://doi.org/10.3970/cmes.2012.084.423



cc Copyright © 2012 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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