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Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation
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作者 Magdy Ahmed Mohamed Mohamed Shibl Torky 《American Journal of Computational Mathematics》 2013年第3期175-184,共10页
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 ... 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. 展开更多
关键词 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
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