The application of Least Squares Method and Shifted Chebychev Polynomials for solving fourth order Volterra Integro-Differential Equations

Authors

  • A.K. Bello* *Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
  • A.M. Ayinde† Department of Mathematics, University of Abuja, Abuja, Nigeria.
  • A.S. Daodu ‡ Department of Mathematics, University of Ilorin, Ilorin, Nigeria
  • A.A. Ishaq§ § Department of Physical Sciences, Al-Hikmah University, Ilorin, Nigeria.

Keywords:

Chebyshev polynomials, least square method, numerical method, utilized effectively, Volterra integro-differential equations

Abstract

This study employs the least squares method in conjunction with shifted Chebyshev polynomials as a framework to approximate solutions for fourth-order Volterra integrodifferential equations. By leveraging this numerical approach, the method effectively tackles various fourth-order Volterra integro-differential equations, yielding results closely aligned with exact solutions. The utilization of the least squares method with shifted Chebyshev polynomials demonstrates its efficacy in solving such equations with exact and converges faster than existing methods. The tables and graphical representation below display this

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Published

2024-06-30

How to Cite

Bello*, A. ., Ayinde†, A. ., Daodu ‡, A. ., & Ishaq§, A. . (2024). The application of Least Squares Method and Shifted Chebychev Polynomials for solving fourth order Volterra Integro-Differential Equations. International Journal of Mathematical Analysis and Modelling, 7(1). Retrieved from https://tnsmb.org/journal/index.php/ijmam/article/view/133

Issue

Vol. 7 No. 1 (2024): Volume 7, Issue 1 (2024)

Section

Articles