Numerical Solution of System of Linear Fractional Integro-differential Equations by Least Squares Collocation Chebyshev Technique

Document Type : Original Article

Authors

1 Department of Applied Science, Faculty of Pure and Applied Science,Federal College of Dental Technology and Therapy, Enugu, Nigerian

2 Department of Mathematics, University of Ilorin, Ilorin, Nigerian

3 Department of Mathematics, America University of Nigerian, Yola, Nigeria

4 Department of Physical Sciences, Al-Hihmah University, Ilorin, Nigerian

5 Department of Mathematics, Modibbo Adama University, Yola, Nigerian

Abstract

This study presents the approximate solutions of a system of Fractional Integro-Differential Equations (FIDEs) with least squares collocation Chebyshev technique. The technique reduce the problem to system of linear algebraic equations and then solved. The applicability of this method has been demonstrated by numerical examples. Numerical results show that the method is easy to implement and compares favorably with the exact results.

Keywords

References

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Mathematics and Computational Sciences
Volume 3, Issue 2
May 2022
Pages 10-21

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History

  • Receive Date: 20 November 2021
  • Revise Date: 23 April 2022
  • Accept Date: 26 April 2022
  • First Publish Date: 01 May 2022

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