Existence the Solutions of Some Fifth-Order Kdv Equation by Laplace Decomposition Method

DOI: 10.4236/ajcm.2013.31013   PDF   HTML   XML   3,457 Downloads   6,381 Views   Citations

Abstract

In this paper, we develop a method to calculate numerical and approximate solution of some fifth-order Korteweg-de Vries equations with initial condition with the help of Laplace Decomposition Method (LDM). The technique is based on the application of Laplace transform to some fifth-order Kdv equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this technique with the help of four examples and results of the present technique have closed agreement with approximate solutions obtained with the help of (LDM).

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S. Handibag and B. Karande, "Existence the Solutions of Some Fifth-Order Kdv Equation by Laplace Decomposition Method," American Journal of Computational Mathematics, Vol. 3 No. 1, 2013, pp. 80-85. doi: 10.4236/ajcm.2013.31013.

Conflicts of Interest

The authors declare no conflicts of interest.

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