TITLE:
Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation
AUTHORS:
Magdy Ahmed Mohamed, Mohamed Shibl Torky
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
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.3 No.3,
August
14,
2013
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.