In this paper, we construct a Grunwald implicit approximation equation of one-dimensional (1D) time-fractional parabolic equations by applying the discretization process based the second-order implicit finite difference scheme and Grunwald fractional derivative operator. Then this approximation equation leads the generated linear system. We also consider using the Modified Kaudd Successive Over Relaxation (MKSOR) iterative method for solving linear system iteratively. For comparison purposes, three numerical examples are presented to illustrate the efficiency of MKSOR iterative method over another two existing iterative methods. Based on the findings of recorded numerical results, it has revealed that the MKSOR method involves less number of iterations and the computation time during the the implementation of iteration process.
展开▼
