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

Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation
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摘要 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. 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.
出处 《American Journal of Computational Mathematics》 2013年第3期175-184,共10页 美国计算数学期刊(英文)
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 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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