@Article{JICS-10-178, author = {Y. Ordokhani and R. Javadi}, title = {Numerical solution of two-dimensional nonlinear Volterra integral equations using Bernstein polynomials}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {10}, number = {3}, pages = {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. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22543.html} }