Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation - American Journal of Computational Mathematics

AJCM > Vol.3 No.3, September 2013

American Journal of Computational Mathematics

Volume 3, Issue 3 (September 2013)

ISSN Print: 2161-1203 ISSN Online: 2161-1211

Google-based Impact Factor: 1.05 Citations

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

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DOI: 10.4236/ajcm.2013.33026 7,511 Downloads 13,590 Views Citations

Author(s)

Magdy Ahmed Mohamed, Mohamed Shibl Torky

Affiliation(s)

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

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

Share and Cite:

Mohamed, M. and Torky, M. (2013) Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation. American Journal of Computational Mathematics, 3, 175-184. doi: 10.4236/ajcm.2013.33026.

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