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

Magdy Ahmed Mohamed, Mohamed Shibl Torky

Faculty of Science, Suez Canal University, Ismailia, Egypt.
The High Institute of Administration and Computer, Port Said University, Port Said, Egypt.

DOI: 10.4236/ajcm.2013.33026                

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.

Keywords

Nonlinear System of Partial Differential Equations; The Laplace Decomposition Method; The Pade Approximation; The Coupled System of the Approximate Equations for Long Water Waves; The Whitham Broer Kaup Shallow Water Model; The System of Hirota-Satsuma Coupled KdV

Conflicts of Interest

The authors declare no conflicts of interest.

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