Abstract

The Adomian decomposition method (ADM) is an analytical method to solve linear and nonlinear equations and gives the solution a series form. Two-step Adomian decomposition method (TSADM) is a modification on ADM and makes the calculations much simpler. In this paper we combine Laplace transform and TSADM and present a new approach for solving partial differential equations. Key words: Two-step Adomian decomposition method, Laplace decomposition method, Adomian decomposition method. Mathematics subject classification: 47J30, 49S05.

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