Caputo’s Finite Difference Solution of Fractional Two-Point BVPs Using AGE Iteration

Abstract

The aim of this paper deals with the performance of Alternating Group Explicit (AGE) iterative method for solving the linear system based on Caputo’s finite difference approximation equation. Actually, the approximation equation was be generated from the discretization process of the fractional two-point boundary value problems by using finite difference discretization scheme and Caputo’s operator. The formulation and implementation of AGE iterative method have been included. To investigate the efficiency of AGE iterative method, this paper considered four examples of numerical experiments. Based on numerical results, the findings showed that the AGE method is more efficient as compared with GS method.