Application of Modified Double Sumudu Transform to Partial Differential Equations and Integro-Partial Differential Equations

Abstract

This research project introduces a new method employed to tackle non-linear partial differential equations, namely Modified Double Sumudu Transform Decomposition Method. This method is a combination of the Modified Double Sumudu Transform and Adomian Decomposition Method. The presented technique is provided and supported with necessary illustrations, together with some attached examples. The results reveal that the new method is very efficient, simple and can be applied to other non-linear problems.