Application of Chebyshev polynomial basis function on the solution of Volterra integro-differential equations using Galerkin method

Document Type : Original Article

Authors

1 Osun State University, Osogbo, Nigeria.

2 University of Ilorin Nigeria

Abstract

In this paper, the Galerkin Method (GM) is employed for finding the solution of Volterra integro-differential equations with the aid of Chebyshev polynomial basis function. Some examples are presented to demonstrate the effectiveness of the method and its reliability. The approximate solutions are in agreement with the exact solutions and are compared favorably with an existing method available in the literature.

Keywords

References

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Mathematics and Computational Sciences
Volume 2, Issue 4
December 2021
Pages 41-51

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History

  • Receive Date: 23 October 2021
  • Revise Date: 12 November 2021
  • Accept Date: 12 November 2021
  • First Publish Date: 12 November 2021

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