TY - JOUR
T1 - Numerical solution of two-dimensional nonlinear Volterra integral equations using Bernstein polynomials
AU - Y. Ordokhani and R. Javadi
JO - Journal of Information and Computing Science
VL - 3
SP - 178
EP - 188
PY - 2024
DA - 2024/01
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22543.html
KW - Two-dimensional integral equations, Bernstein polynomials, Operational matrix of integration, 
Product operational matrix,Volterra, Nonlinear. 

AB - 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.