Penyelesaian Persamaan Painleve Menggunakan Metode Dekomposisi Adomian Laplace
Abstract
This paper discusses about the solving Painleve equation by using Laplace AdomianDecomposition Method. Laplace Adomian Decomposition Method is a method to solve of nonlinear
ordinary differential equation that combine between Laplace transform and Adomian Decompositiom
Method. Based on calculation seen that the result that gotten by using Laplace Adomian Decomposition
Method to solve Painleve equation are same with Adomian Decomposition Method. The result that
obtained show the method this is more efecctive and accurate to draw near the exact solution if compared
with homotopy perturbation method.
Keywords : Adomian Decomposition Method, Laplace Adomian Decomposition Method, Homotopy
Pertubation Method, Painleve Equation.
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