Numerical solution of two-dimensional nonlinear Volterra integral equations using Bernstein polynomials
Year: 2015
Journal of Information and Computing Science, Vol. 10 (2015), Iss. 3 : pp. 178–188
Abstract
The purpose of this paper is to present a numerical method for finding an approximate solution of two-dimensional (2D) nonlinear volterra integral equations. First, we introduce two-dimensional Bernstein functions, then present their operational matrices of integration and product. Using this properties and collcation points, reduce integral equation to a system of nonlinear algebric equations. Illustrative examples have been discussed to demonstrate the validity and applicability of the technique.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22543
Journal of Information and Computing Science, Vol. 10 (2015), Iss. 3 : pp. 178–188
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11