Work place: Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Nigeria
E-mail: 03-55eb035.pg@students.unilorin.edu.ng
Website: https://orcid.org/0009-0008-9885-0965
Research Interests:
Biography
Kabir A. Ganiyu is a PhD candidate in Mathematics at The University of Ilorin, specializing in Numerical Analysis. He holds a BSc in Mathematics from the University of Ilorin (2006) and an MSc with a PhD-grade distinction (2014). Currently serving as Head of the Mathematics Unit at Department of Mathematics and Statistics, The Polytechnic Ibadan.
By Kabir A. Ganiyu Omotayo A. Taiwo
DOI: https://doi.org/10.5815/ijmsc.2025.04.01, Pub. Date: 8 Dec. 2025
This study presents a perturbed exponentially fitted collocation method for solving higher-order integrodifferential equations. The proposed method combines the strengths of exponential fitting and collocation techniques to efficiently handle the oscillatory and exponential behaviors inherent in these equations. By incorporating perturbation terms, the method enhances accuracy and stability for stiff problems. Numerical examples are solved, it is observed that the method yielded exact solution in example 4.1 and 4.2 and achieves near-machine precision (error ∼ 10−16) at x = 1.0 compared with Bessel polynomial Approximation Method, showcasing its potential for solving complex integrodifferential equations in various applications.
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