A non-polynomial numerical scheme for fourth-order fractional diffusion-wave model

• Main Authors: Li, Xuhao, Wong, Patricia Jia Yiing
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2020
• Subjects: Engineering::Electrical and electronic engineering; Parametric Spline; Quintic Spline
• Online Access: https://hdl.handle.net/10356/141384
• Institution: Nanyang Technological University

In this paper, we tackle the numerical treatment of a fourth-order fractional diffusion-wave problem. By using parametric quintic spline in the spatial dimension and an approximation of Caputo derivatives at half-points, we propose a numerical scheme and rigorously prove its solvability, convergence...