A higher order numerical scheme for solving fractional Bagley-Torvik equation

• Main Authors: Ding, Qinxu, Wong, Patricia Jia Ying
• Other Authors: School of Electrical and Electronic Engineering
• Format: Article
• Language: English
• Published: 2022
• Subjects: Engineering::Electrical and electronic engineering; Discrete Spline; Fractional Bagley-Torvik Equation
• Online Access: https://hdl.handle.net/10356/159961
• Institution: Nanyang Technological University

In this paper, we develop a higher order numerical method for the fractional Bagley-Torvik equation. The main tools used include a new fourth-order approximation for the fractional derivative based on the weighted shifted Grünwald-Letnikov difference operator and a discrete cubic spline approach. We...