Parametric quintic spline approach for two-dimensional fractional sub-diffusion equation

• Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2018
• Subjects: DRNTU::Engineering::Electrical and electronic engineering; Parametric Quintic Spline; Two-dimensional Fractional Sub-diffusion
• Online Access: https://hdl.handle.net/10356/88659; http://hdl.handle.net/10220/45900
• Institution: Nanyang Technological University

In this paper, we shall tackle the numerical treatment of two-dimensional fractional sub-diffusion equations using parametric quintic spline. It is shown that this numerical scheme is solvable, stable and convergent with high accuracy which improves some earlier work. Finally, we carry out an experi...