Fractional Order Systems and Applications in Engineering

Chapter 16: Computational half-sweep preconditioned Gauss–Seidel method for time-fractional diffusion equations

Andang Sunarto^a; Jumat Sulaiman^b; Jackel Vui Lung Chew^c    aDepartment Tadris Matematika, Universitas Islam Negeri (UIN) Fatmawati Sukarno, Bengkulu, Indonesia^bFaculty of Science and Natural Resources, Universiti Malaysia Sabah, Sabah, Malaysia^cFaculty of Computing and Informatics, Universiti Malaysia Sabah, Sabah, Malaysia

Abstract

In this study, we derive a finite difference approximation equation from the discretization of the one-dimensional linear time-fractional diffusion equations by using the Caputo time fractional derivative. A linear system is generated by the Caputo finite difference approximation equation. Then the resulting ...