Collocation Computational Technique For Fractional Integro-Differential Equations

Authors

  • Olumuyiwa James Petera Department of Math. and Computer Sciences, University of Medical Sciences, Ondo City, Ondo State, Nigeria
  • Mfon O. Etukb Department of Mathematics and Statistics, Federal Polytechnic, Bida, Nigeria
  • Michael Oyelami Ajisopec Department of Mathematics, Federal University, Oye-Ekiti, Nigeria
  • Christie Yemisi Isholad Department of Mathematics, National Open University, Jabi Abuja, Nigeria
  • Tawakalt Abosede Ayoola Department of Mathematics, Osun State University Osogbo, Osun State, Nigeria
  • Hasan S. Panigoro BioMathematics Research Group, Department of Mathematics, Faculty of Mathematics Natural Sciences, Universitas Negeri Gorontalo, Bone Bolango, Indonesia

DOI:

https://doi.org/10.3126/njmathsci.v4i2.59539

Keywords:

First-kind Chebyshev polynomials, Fractional integro-differential equations, Numerical technique, Matrix inversion

Abstract

 In this study, the collocation method and first-kind Chebyshev polynomials are used to investigate the solution of fractional integral-differential equations. In order to solve the problem, we first convert it to a set of linear algebraic equations, which are then solved by using matrix inversion to get the unknown constants. To demonstrate the theoretical findings, a few numerical examples are given and compared with other results obtained by other numerical techniques. Tables and figures are utilized to demonstrate the accuracy and effectiveness of the method. The outcomes demonstrate that the method improved accuracy more effectively while requiring less labor-intensive tasks.

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Published

2023-08-01

How to Cite

Petera, O. J., Etukb, M. O., Ajisopec, M. O., Isholad, C. Y., Ayoola, T. . A., & Panigoro, H. S. (2023). Collocation Computational Technique For Fractional Integro-Differential Equations. Nepal Journal of Mathematical Sciences, 4(2), 59–66. https://doi.org/10.3126/njmathsci.v4i2.59539

Issue

Vol. 4 No. 2 (2023)

Section

Articles

License

© School of Mathematical Sciences, Tribhuvan University