A two-step Laplace decomposition method for solving nonlinear partial differential equations

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.