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ARTICLE
Radial Basis Functions Approximation Method for Numerical Solution of Good Boussinesq Equation
Marjan Uddin1, Ghulam Kassem1
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
Cite This Article
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