Non-polynomial spline approach in two-dimensional fractional sub-diffusion problems

• 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; Non-polynomial Spline; Sub-diffusion Equation
• Online Access: https://hdl.handle.net/10356/152780
• Institution: Nanyang Technological University

In this paper, we propose a new numerical scheme for two-dimensional fractional sub-diffusion problems using non-polynomial spline. The solvability, stability and convergence of the proposed method are established using the well known discrete energy methodology. It is shown that the spatial converg...