Analytical View of Nonlinear Delay Differential Equations Using Sawi Iterative Scheme

Abstract

This paper presents the idea of the Sawi iterative scheme (SIS) to derive the analytical solution of nonlinear delay differential equations (DDEqs). We apply the Sawi transform to construct a recurrence relation which is now easy to handle and the implementation of homotopy perturbation method (HPM) reduces the nonlinear components to obtain a series solution. This series is independent of any assumption and restriction of variables that may ruin the actual problem. A transformation that keeps the differential equations consistent is known as a differential equation symmetry. It is very simple and easy to obtain the solution of these differential equations in the presence of such symmetries. We deal with this approach in a very simple way and obtain the results in the form of convergence. We also demonstrate the graphical solution to show that this approach is very authentic and valid for linear and nonlinear problems.