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

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

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...

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Bibliographic Details
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
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Institution: Nanyang Technological University
Language: English
Description
Summary: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 show that the theoretical convergence order improves those of previous work. Five examples are further presented to illustrate the efficiency of our method and to compare with other methods in the literature.

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