Bernstein Perturbed Collocation Approach for Solving Fractional Integrodifferential Equations

Authors

  • Ohigweren Airenoni Uwaheren Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
  • Eric Onyebuchi Anyanwu Department of Mathematics, Alvan Ikoku University of Education, Owerri, Imo State, Nigeria.
  • Samson Oluyemi Oduola Department of Mathematics, FCT College of Education, Zuba, Abuja, Nigeria.
  • Sodiq Kayode Wahab Department of Mathematics, University of Ilorin, Ilorin, Nigeria.

Keywords:

Integrodifferential Equations, Perturbed Collocation Method, Bernstein Polynomials, Approach

Abstract

Here, we propose the method of Bernstein perturbed collocation for the approximation of fractional integrodifferential equations. A trial solution of Bernstein polynomial was slightly perturbed by Chebyshev polynomial and put into the equation considered. The equation obtained was then collocated at equally spaced interior points of the interval, yielding a system of equations. These equations are subsequently solved using appropriate computational software, such as Maple 18. The methodology was demonstrated in some examples to illustrate the method's accuracy.

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Published

2024-09-30

How to Cite

Uwaheren, O. A., Anyanwu, E. O., Oduola, S. O., & Wahab, S. K. (2024). Bernstein Perturbed Collocation Approach for Solving Fractional Integrodifferential Equations. Faculty of Natural and Applied Sciences Journal of Mathematical Modeling and Numerical Simulation, 2(1), 124–134. Retrieved from https://fnasjournals.com/index.php/FNAS-JMNS/article/view/546

Issue

Vol. 2 No. 1 (2024): 2024-FNAS-JMMNS-2-1

Section

Articles