Shifted Legendre Basis Functions on the Numerical Solution for the Class of Linear Integro Differential Equation.

##plugins.themes.bootstrap3.article.sidebar##

Pdf
Published 2025-07-31
DOI: https://doi.org/10.20428/jst.v30i8.2916

##plugins.themes.bootstrap3.article.main##

A. F. Adebisi
Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria.
O. O. Babalola
Department of Mathematics and Statistics, Faculty of Applied Science, Osun State College of Technology Esa Oke Osun State, Nigeria

Abstract

This work discusses shifted Legendre basis functions on the numerical solution for the class of integro-differential equations. This class of problems is challenging to solve analytically, necessitating an approximate numerical solution. Legendre polynomials are used as basis functions in the approximation to provide solutions to such problems. This method involves less computational cost and less computer storage. The results obtained are in total agreement with Daraina (2016).

##plugins.themes.bootstrap3.article.details##

Keywords

Legendre polynomial, shifted Legendre basis function, integro-differential function

Issue
Vol. 30 No. 8 (2025)
Section
Articles
How to Cite
[1]
Adebisi, A.F. and Babalola, O.O. trans. 2025. Shifted Legendre Basis Functions on the Numerical Solution for the Class of Linear Integro Differential Equation. Journal of Science and Technology. 30, 8 (Jul. 2025). DOI:https://doi.org/10.20428/jst.v30i8.2916.

How to Cite

[1]
Adebisi, A.F. and Babalola, O.O. trans. 2025. Shifted Legendre Basis Functions on the Numerical Solution for the Class of Linear Integro Differential Equation. Journal of Science and Technology. 30, 8 (Jul. 2025). DOI:https://doi.org/10.20428/jst.v30i8.2916.