Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation

Abstract

This paper presents a new numerical approach to solve single and multiterm time fractional diffusion equations. In this work, the space dimension is discretized to the Gauss − Lobatto points. We use the normalized Grunwald approximation for the time dimension and a pseudospectral successive integration matrix for the space dimension. This approach shows that with fewer numbers of points, we can approximate the solution with more accuracy. Some examples with numerical results in tables and figures displayed.

Effective Modified Fractional Reduced Differential Transform Method for Solving Multi-Term Time-Fractional Wave-Diffusion Equations

“…Dehghan et al [16] proposed a high-order difference method of MT-TFPDEs. Gholami et al [17] offered a new numerical approach for solutions of single and MT-TFDEs, in which the pseudospectral operational matrix has a critical role. Zheng et al [18] established a high-order numerical method for MT-TFDEs.…”