Numerical Solutions of Fredholm Integral Equations Using Bernstein Polynomials

Authors

  • A. Shirin United International University
  • M. S. Islam University of Dhaka

DOI:

https://doi.org/10.3329/jsr.v2i2.4483

Keywords:

Fredholm Integral Equation, Galerkin Method, Bernstein Polynomials.

Abstract

In this paper, Bernstein piecewise polynomials are used to solve the integral equations numerically. A matrix formulation is given for a non-singular linear Fredholm Integral Equation by the technique of Galerkin method. In the Galerkin method, the Bernstein polynomials are used as the approximation of basis functions. Examples are considered to verify the effectiveness of the proposed derivations, and the numerical solutions guarantee the desired accuracy.

 

Keywords: Fredholm integral equation; Galerkin method; Bernstein polynomials.

 

© 2010 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

 

DOI: 10.3329/jsr.v2i2.4483               J. Sci. Res. 2 (2), 264-272 (2010)

 

Downloads

Download data is not yet available.
Abstract
759
PDF
719

Author Biographies

A. Shirin, United International University

Lecturer

Institute of Natural Sciences

United International University,

Dhaka-1209

M. S. Islam, University of Dhaka

Professor
Department of Mathematics
Dhaka University
Dhaka-1000
Bangladesh

Downloads

Published

2010-04-26

How to Cite

Shirin, A., & Islam, M. S. (2010). Numerical Solutions of Fredholm Integral Equations Using Bernstein Polynomials. Journal of Scientific Research, 2(2), 264–272. https://doi.org/10.3329/jsr.v2i2.4483

Issue

Vol. 2 No. 2 (2010)

Section

Section A: Physical and Mathematical Sciences

License

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.