RESOLVING DELAY DIFFERENTIAL EQUATIONS WITH HOMOTOPY PERTURBATION AND SUMUDU TRANSFORM

Abstract

A novel proposition has been introduced in this study for resolving delay differential equations (DDEs) of nature that is a composite in reference to Homotopy perturbation method (HPM) along with Sumudu transform. A rare transform called the Sumudu transform is used alongside the perturbation theory. Demonstration of this new methodology is shown by solving a few numerical cases. Reducing the complication of computational tasks associated to the conservative means is the objective of this research. Results display the amount of valuation being reduced and is as good as in the previous studies as well in comparison.