Work place: Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Ilorin Kwara State Nigeria
E-mail: tayo@unilorin.edu.ng
Website: https://orcid.org//0000-0002-4761-3926
Research Interests:
Biography
Omotayo Adebayo Taiwo is a Professor in the Department of Mathematics, Faculty of Physical Sciences, University of Ilorin with 37 years of university teaching, research, and administrative experience. He has served as Head of Department. His areas of research interest include Numerical Analysis, Computational Mathematics, and Computer Science. He has to his credit over ninety- five publications and he has successfully supervised over 50 Masters' dissertations, 30 PhDs and is a member of many professional bodies within and outside Nigeria.
By Falade Kazeem Iyanda Muhammad Yusuf Muhammad Taiwo Omotayo Adebayo Adeyemo Kolawole Adefemi
DOI: https://doi.org/10.5815/ijmsc.2025.01.03, Pub. Date: 8 Apr. 2025
Standard collocation (SCM) and perturbed collocation (PCM) are utilized as effective numerical techniques for solving fractional-order differential equations (FODEs) which focus on constructing orthogonal polynomials to serve as basis functions for approximating the solutions to these equations. The approach began by assuming an approximate solution, expressed in the constructed orthogonal polynomials. These assumed solutions were then substituted into the original FODEs. Following this, the problem was converted into a system of algebraic linear equations by collocating the equations at evenly spaced interior points. Numerical examples and the results indicated that the SCM and PCM are easy, efficient, and in good agreement compared with some existing methods and the results presented in the tables and graphs unequivocally demonstrate the efficacy of the proposed methods in solving fractional-order differential equations, yielding solutions of remarkable accuracy. However, the SCM and PCM exhibit comparable accuracy, making it difficult to identify a single superior approach, we conclude that both the proposed methods are effective and viable options for solving fractional order differential equations.
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