Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation

DOI: 10.4236/ajcm.2013.33026   PDF   HTML     6,540 Downloads   11,846 Views   Citations

Abstract

In this paper, Laplace decomposition method (LDM) and Pade approximant are employed to find approximate solutions for the Whitham-Broer-Kaup shallow water model, the coupled nonlinear reaction diffusion equations and the system of Hirota-Satsuma coupled KdV. In addition, the results obtained from Laplace decomposition method (LDM) and Pade approximant are compared with corresponding exact analytical solutions.

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M. Mohamed and M. Torky, "Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation," American Journal of Computational Mathematics, Vol. 3 No. 3, 2013, pp. 175-184. doi: 10.4236/ajcm.2013.33026.

Conflicts of Interest

The authors declare no conflicts of interest.

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