Work

Bernstein computational algorithm for integro-differential equations

Year: 2024

Type: article

Abstract: 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. Collocating the resulting equation at evenly spaced points yields a system of linear algebraic equations , which is solved via matrix inversion to find the Bernstein coefficients. These coefficients are then used to construct the approximate solution. Numerical examples demonstrate the method's accuracy and efficiency, highlighting its advantages in reducing computational effort.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100897

Authors: Taiye Oyedepo, Ganiyu Ajileye, Abayomi Ayotunde Ayoade

Institutions: Federal University of Allied Health Sciences, Enugu, Kwararafa University, University of Lagos

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

OpenAlex ID: W4402037417

FWCI: 1.527

Cites: 15

Cited by: 2

Related to: 10