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Falade Kazeem Iyanda

Work place: Department of Mathematics, Faculty of Computing and Mathematical Sciences, Aliko Dangote University of Science and Technology, Wudil Kano State Nigeria

E-mail: faladekazeem2016@kustwudil.edu.ng

Website: https://orcid.org//0000-0001-7572-5688

Research Interests:

Biography

Falade Kazeem Iyanda, PhD, he is an Associate Professor of Numerical and Computational Mathematics in the Department of Mathematics at Aliko Dangote University of Science and Technology, Wudil, Kano State, Nigeria. He received his Bachelor's degree B.Sc. Mathematics at the Federal University of Agriculture, Abeokuta, Nigeria, and received his Master's degree M.Sc. and PhD in Mathematics at the University of Ilorin, Ilorin, Nigeria. As an accomplished researcher and educator, he has significantly contributed to the field of Numerical and Computational Mathematics. He was the immediate past Head of the Department of Mathematics, where he provided exemplary leadership and fostered academic excellence. Falade's scholarly output includes more than forty publications in reputable peer-reviewed journals and reviewer of some reputable local and international journals reflecting his dedication to advancing mathematical research. His work primarily focuses on computational algorithm techniques and methods in applications to engineering and physical sciences. He is a member of several prestigious professional organizations, including the Nigerian Mathematical Society (NMS), the Mathematical Association of Nigeria (MAN), The National Institute of Professional Engineers and Scientists (NIPES), and the Nigerian Association of Mathematical Physics (NAMP).

Author Articles
Derivation and Implementation of the Collocation Methods for Solving Single and Multi Time-Fractional Order Differential Equations

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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