Homotopy Perturbation Method for Korteweg and de Vries Equation
نویسندگان
چکیده
Abstract: This study focus on the solution of the generalized Korteweg and de Vries (KdV) by using homotopy perturbation method (HPM). The HPM has the capabilities to bereave the complicated differential equation models to number of simple iterative models once the effective initial guess satisfying the boundary conditions is made and leads to generic solutions in addition to their rapid convergence. The algorithm developed facilitates for less time consuming. Also even for smaller values desirable solutions are obtained. Two test examples are considered to illustrate the present scheme.In order to make the technique more responsive, various comparisons are carried out for different parameters.
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