High Accuracy Numerical System for Fourth-order Fractional Diffusion-wave Model

Xuhao Li, Patricia J. Y. Wong

Abstract: In this paper, we tackle the numerical treatment of a fourth-order fractional diffusion-wave problem using parametric quintic spline. It is shown that the numerical scheme is stable and convergent and the theoretical convergence order improves those of earlier work. To confirm, simulation is carried out to demonstrate its efficiency.