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Title
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A numerical method for KdV equation using rational radial basis functions
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Type
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JournalPaper
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Keywords
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KdV equation, RBF, Rational radial basis function method, Runge-Kutta method.
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Abstract
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In this paper, we use the rational radial basis functions ( RRBFs) method to solve the Korteweg-de Vries (KdV) equation, particularly when the equation has a solution with steep front or sharp gradients. We approximate the spatial derivatives by RRBFs method then we apply an explicit fourth-order Runge-Kutta method to advance the resulting semi-discrete system in time. Numerical examples show that the presented scheme preserves the conservation laws and the results obtained from this method are in good agreement with analytical solutions
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Researchers
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Maryam Mohammadi (Third Researcher), Amjad Alipanah (Second Researcher), Mansour Shiralizadeh (First Researcher)
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