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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
Abstract
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
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