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Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation
Faculty of Science, Suez Canal University, Ismailia, Egypt
The High Institute of Administration and Computer, Port Said University, Port Said, Egypt
- 1 Faculty of Science, Suez Canal University, Ismailia, Egypt
- 2 The High Institute of Administration and Computer, Port Said University, Port Said, Egypt
American Journal of Computational Mathematics·Volume 03 (2013)·Pages 175–184·Published 14 August 2013·DOI10.4236/ajcm.2013.33026
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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.
KeywordsNonlinear System of Partial Differential EquationsThe Laplace Decomposition MethodThe Pade ApproximationThe Coupled System of the Approximate Equations for Long Water WavesThe Whitham Broer Kaup Shallow Water ModelThe System of Hirota-Satsuma Coupled KdV
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