A numerical solution of a Kawahara equation by using Multiquadric radial basis function
محورهای موضوعی : Applied Mathematics
M. Zarebnia
1
(Department of Mathematics, University of mohaghegh Ardabili,
56199-11367, Ardabil, Iran.)
M. Takhti
2
(Department of Mathematics, University of mohaghegh Ardabili,
56199-11367, Ardabil, Iran.)
کلید واژه: Kawahara equation, Traveling wave solution, Radial basis function(RBFs),
چکیده مقاله :
In this article, we apply the Multiquadric radial basis function (RBF) interpo-lation method for nding the numerical approximation of traveling wave solu-tions of the Kawahara equation. The scheme is based on the Crank-Nicolsonformulation for space derivative. The performance of the method is shown innumerical examples.
In this article, we apply the Multiquadric radial basis function (RBF) interpo-lation method for nding the numerical approximation of traveling wave solu-tions of the Kawahara equation. The scheme is based on the Crank-Nicolsonformulation for space derivative. The performance of the method is shown innumerical examples.
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