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.
Highlights
The Laplace decomposition method (LDM) is one of the efficient analytical techniques to solve linear and nonlinear equations [1,2,3]
The results obtained from Laplace decomposition method (LDM) and Pade approximant are compared with corresponding exact analytical solutions
Results obtained by LDM are more efficient and realistic
Summary
The Laplace decomposition method (LDM) is one of the efficient analytical techniques to solve linear and nonlinear equations [1,2,3]. Results obtained by LDM are more efficient and realistic. This method has been used to obtain approximate solutions of a class of nonlinear ordinary and partial differential equations [1,2,3,4]. S. TORKY we discuss how to solve Numerical solution of nonlinear system of parial differential equations by using LDM. The results of the present technique have close agreement with approximate solutions obtained with the help of the Adomian decomposition method [8]
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