Solution For A Fractional Diffusion Equation Using Variational Iteration Method

Abstract

In this thesis, the solution of fractional diffusion equation us ing Variational iteration method was successfully implemented in Gamma function and Mittag-Leffler function subjected to re currence relation. A numerical technique for solving generalized fractional diffusion equations is presented. Variational iteration method is modified to study this problem, where the derivatives were defined in the Caputo fractional sense. Some numerical ex amples are given to demonstrate the validity and applicability of the method. The obtained results reveal that given method very good approximation. This method provides very efficiently a con vergent series solution form with easily computable coefficients. The obtained results show that variational iteration method is very effective and convenient.