Computational Relationship of The Surface Area and Stiffness of the Spring Constant on Fractional Bagley-Torvik Equation-Reference-Cited by-同舟云学术

Computational Relationship of The Surface Area and Stiffness of the Spring Constant on Fractional Bagley-Torvik Equation

Published:2023-03-29 Issue:1 Volume:18 Page:23-31
ISSN:1308-9080
Container-title:Turkish Journal of Science and Technology
language:
Short-container-title:

Author:

KAZEEM IYANDA Falade¹^ORCID,TİAMİYU Abd'gafar²^ORCID,ADİO Adesina³^ORCID,TAHİR Huzaifa Muhammad⁴^ORCID,ABUBAKAR Umar Muhammad⁴^ORCID,BADAMASİ Sahura⁵^ORCID

Affiliation:

1. Kano University of Science and Technology, P.M.B 3244 Wudil Kano State Nigeria

2. Department of Mathematics, Federal University of Technology Minna Niger State Nigeria

3. Department of Basic Sciences, School of Science and Technology, Babcock University, Ilisan-Remo, Ogun State Nigeria

4. Department of Mathematics, Faculty Computing and Mathematical Sciences Kano University of Science and Technology, Wudil Kano State Nigeria

5. Department of Mathematics, Faculty Computing and Mathematical Sciences Kano University of Science and Technology, Wudil Kano State Nigeria.

Abstract

In this paper, we formulate an efficient algorithm based on a new iterative method for the numerical solution of the Bagley-Torvik equation. The fractional differential equation arises in many areas of applied mathematics including viscoelasticity problems and applied mechanics of the oscillation process. We construct the fractional derivatives via the Caputo-type fractional operator to formulate a three-step algorithm using the MAPLE 18 software package. We further investigate the relationships between the surface area and stiffness of the spring constants of the Bagley-Torvik equation on three case problems and numerical results are presented to demonstrate the efficiency of the proposed algorithm.

Funder

NONE

Publisher

Firat Universitesi

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