Numerical Solution of SIR Model using Differential Transformation Method and Variational Iteration Method

Abstract

This study investigates the application of differen tial transformation method and variational iteration method in finding the approxi mate solution of Epidemiology (SIR) model. SIR models are nonlinear system of ord inary differential equation that has no analytic solution. VIM uses the general Lagrange multiplier to construct the correction functional for the problem while DTM uses the transformed function of the original nonlinear syst em. The result revealed that both methods are in complete agreement, accurate an d efficient for solving systems of ODE.