Solution of Linear and Nonlinear Partial Differential Equations by Mixing Adomian Decomposition Method and Sumudu Transform

Abstract

This study is fundamentally centering on the application of the Adomian decomposition method and Sumudu transform for solving the linear and nonlinear partial differential equations. It has instituted some theorems, definitions, and properties of Adomian decomposition and Sumudu transform. This study is an elegant combination of the Adomian decomposition method and Sumudu transform. Consequently, it provides the solution in the form of convergent series. Then, it is applied to solve linear and nonlinear partial differential equations. Finally, the solutions of linear and nonlinear partial differential equations by this method, and other methods are compared.