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

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 s...

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Veröffentlicht in:Computer modeling in engineering & sciences 2012, Vol.84 (5), p.423-437
Hauptverfasser: Kaplan, Ayşe Gül, Dereli, Yılmaz
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description 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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source Tech Science Press; EZB-FREE-00999 freely available EZB journals
subjects Collocation methods
Computer simulation
Radial basis function
Solitary waves
Wave equations
title Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions
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