An Application for Nonlinear Partial Differential Equations Involving Mixed Partial Derivatives by Laplace Substitution Method

摘要

In this article, we develop a method to obtain approximate solutions of nonlinear coupled partial di erential equations involving mixed partial derivatives with the help of Laplace Substitution Method (LSM). The technique is based on the application of Laplace transform to nonlinear coupled partial di erential equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this technique with the help of three examples and results of the present technique have closed agreement with exact solutions. Key words: Laplace transform, Laplace substitution method, Mixed partial derivatives;