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Radial Basis Functions Approximation Method for Numerical Solution of Good Boussinesq Equation
1 Department of Basic Sciences and Islamiat, KPK University of Engineering, Peshawar, Pakistan.
Structural Longevity 2012, 8(2), 125-137. https://doi.org/10.3970/sl.2012.008.125
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An interpolation method using radial basis functions is applied for the numerical solution of good Boussinesq equation. The numerical method is based on scattered data interpolation along with basis functions known as radial basis functions. The spatial derivatives are approximated by the derivatives of interpolation and a low order scheme is used to approximate the temporal derivative. The scheme is tested for single soliton and two soliton interaction. The results obtained from the method are compared with the exact solutions and the earlier works.Keywords
Radial basis functions (RBFs), good Boussinesq equation, RBFs interpolation method.
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APA Style
Uddin, M., Kassem, G. (2012). Radial Basis Functions Approximation Method for Numerical Solution of Good Boussinesq Equation. Structural Longevity, 8(2), 125–137. https://doi.org/10.3970/sl.2012.008.125
Vancouver Style
Uddin M, Kassem G. Radial Basis Functions Approximation Method for Numerical Solution of Good Boussinesq Equation. Structural Longevity. 2012;8(2):125–137. https://doi.org/10.3970/sl.2012.008.125
IEEE Style
M. Uddin and G. Kassem, “Radial Basis Functions Approximation Method for Numerical Solution of Good Boussinesq Equation,” Structural Longevity, vol. 8, no. 2, pp. 125–137, 2012. https://doi.org/10.3970/sl.2012.008.125
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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