VARIATIONAL ITERATION METHOD WITH GAUSS-SEIDEL TECHNIQUE FOR SOLVING AVIAN HUMAN INFLUENZA EPIDEMIC MODEL

A new method is built to solve a Susceptible infected -Susceptible Infected Removed (SI-SIR) model of the Avian Human influenza epidemic. The new method is made from a hybrid of both variational iteration method and Gauss-Seidel method,so-called Gauss-Seidel variational iteration method (GSVIM). GSVIM based on the Lagrange Multiplier and run by successive displacement technique. This new method has success to solve SI-SIR model of the Avian Human influenza epidemic. From the result, GSVIM more accurate than VIM.By only using second iterate of GSVI Mand fourth iterate of VIM, GSVIM solution is closer than VIM solution when both solution compared to the fouth order Runge Kutta method (RK4).