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

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...

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Bibliographic Details
Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2021
Subjects:
Online Access:https://hdl.handle.net/10356/152697