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

• المؤلفون الرئيسيون: Li, Xuhao, Wong, Patricia Jia Yiing
• مؤلفون آخرون: School of Electrical and Electronic Engineering
• التنسيق: مقال
• اللغة: English
• منشور في: 2021
• الموضوعات: Engineering::Electrical and electronic engineering; Fractional Differential Equation; Quintic Spline
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/152697

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 shown that the convergence order is higher than some earlier work done. Four numerical experiments are further carried out to demonstrate the efficiency of the proposed scheme as well as to compare with other methods.