Generalized Alikhanov's approximation and numerical treatment of generalized fractional sub-diffusion equations

• Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics; Generalized Fractional Derivative; Numerical Scheme
• Online Access: https://hdl.handle.net/10356/160563
• Institution: Nanyang Technological University

In this paper, we develop a new approximation for the generalized fractional derivative, which is characterized by a scale function and a weight function. The new approximation is then used in the numerical treatment of a class of generalized fractional sub-diffusion equations. The theoretical aspec...