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

• Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
• 其他作者: School of Electrical and Electronic Engineering
• 格式: Article
• 語言: English
• 出版: 2021
• 主題: Engineering::Electrical and electronic engineering; Non-polynomial Spline; Sub-diffusion Equation
• 在線閱讀: https://hdl.handle.net/10356/152780

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...