Numerical Solutions of Fredholm Integral Equations Using Bernstein Polynomials
Numerical Analysis
2013-09-26 v1 Numerical Analysis
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.
Cite
@article{arxiv.1309.6311,
title = {Numerical Solutions of Fredholm Integral Equations Using Bernstein Polynomials},
author = {Afroza Shirin and Md. Shafiqul Islam},
journal= {arXiv preprint arXiv:1309.6311},
year = {2013}
}
Comments
9 pages. arXiv admin note: substantial text overlap with arXiv:1309.6064