Block Iterative Method for the Solution of Fractional Two-Point Boundary Value Problems

Abstract

The goal of this paper deals with 4-Point Explicit Group (4-EG) iterative method as solver to solve the linear system which is generated by using Caputo's finite difference approximation equation. Actually, this approximation equation was been generated from the discretization process of the fractional two-point boundary value problems via finite difference scheme and Caputo's fractional operator. The formulation and implementation for 4-EG method have been also included. To investigate the efficiency of 4-EG method, this paper considered three examples numerical experiment. Based on numerical results, the finding showed that the 4-EG method is more efficient as compared with GS method in good agreement.