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H. Jafari and V. Daftardar-Gejji, “Solving Linear and Nonlinear Fractional Diffution and Wave Equations by Adomian Decomposition,” Applied Mathematics and Computation, Vol. 180, No. 2, 2006, pp. 488-497. doi:10.1016/j.amc.2005.12.031

has been cited by the following article:

• 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.