Bernstein computational algorithm for integro-differential equations

In this study, we introduce a computational algorithm for solving Integro-Differential Equations (IDEs) using Bernstein polynomials as basis functions. The algorithm approximates the solution by expressing it in terms of Bernstein polynomials and substituting this assumed solution into the IDE. Coll...

Full description

Bibliographic Details

Published in:	Partial Differential Equations in Applied Mathematics
Main Authors:	Taiye Oyedepo, Ganiyu Ajileye, Abayomi Ayotunde Ayoade
Format:	Article
Language:	English
Published:	Elsevier 2024-09-01
Subjects:	Bernstein polynomials Colloation method Integro-differential equations Approximate solution Matrix inversion
Online Access:	http://www.sciencedirect.com/science/article/pii/S2666818124002833