Numerical solutions of fourth-order fractional sub-diffusion problems via parametric quintic spline

• Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2021
• Subjects: Engineering::Electrical and electronic engineering; Fractional Differential Equation; Quintic Spline
• Online Access: https://hdl.handle.net/10356/152697
• Institution: Nanyang Technological University

In this paper, we develop a numerical scheme for a fourth-order fractional sub-diffusion problem using parametric quintic spline and a non-uniform approximation for Caputo fractional derivatives. The solvability, convergence and stability of the scheme are established in maximum norm, and it is show...