In this research, a new approach is presented for solving delay differential equations (DDEs) which is a blend of Sumudu transform and variational iteration method (VIM). A general Lagrange multiplier is used to construct a correction functional. This is done with an uncommon Sumudu transform alongside variational theory. A few numerical cases were solved to demonstrate methodology of this new approach. Objective of this research is to reduce the complexity of computational work compared to the conventional approaches. It can be concluded that the amount of evaluation is reduced but at the same time the results are comparable as in the previous works.

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.