A Collocation Method Based on Euler and Bernoulli Polynomials for the Solution of Volterra Integro-Differential Equations

Authors

  • M. M Shior Benue State University, Makurdi
  • T Aboiyar Joseph Sarwuan Tarka University, Makurdi
  • S.O Adee Modibo Adama University of Technology, Yola.
  • E.C Madubueze Joseph Sarwuan Tarka University, Makurdi

DOI:

: https://doi.org/10.5281/zenodo.7063345

Keywords:

Collocation, Euler, Bernoulli, Polynomials

Abstract

In this research, we constructed collocation methods for approximating the solutions of Volterra integro-differential equations using Bernoulli polynomials and Euler polynomials as basic functions. Sample problems ranging from linear first to second-order Volterra integro-differential (VIDEs) equations using the methods developed were solved.  The method was implemented using MAPLE 17 and MATLAB software and the obtained results are compared with the exact solution for the polynomials. Results revealed that Bernoulli Polynomials have the best accuracy for the first order and second order VIDE. However, both polynomials offer good approximations.

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Published

2022-05-01

How to Cite

Shior, M. M., Aboiyar, T., Adee, S., & Madubueze, E. (2022). A Collocation Method Based on Euler and Bernoulli Polynomials for the Solution of Volterra Integro-Differential Equations. NIGERIAN ANNALS OF PURE AND APPLIED SCIENCES, 5(1), 279–286. https://doi.org/10.5281/zenodo.7063345

Issue

Vol. 5 No. 1 (2022): NAPAS New Edition Online

Section

Original Article

License

Copyright (c) 2022 M. M Shior, T Aboiyar, S.O Adee, E.C Madubueze

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.