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

This study investigates the application of differential transformation method and variational iteration method in finding the approximate solution of Epidemiology (SIR) model. SIR models are nonlinear system of ordinary 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 system. The result revealed that both methods are in complete agreement, accurate and efficient for solving systems of ODE.