Developing an Iterative Method to Solve Two-and Three-Dimensional Mixed Volterra-Fredholm Integral Equations.

In this paper, an iterative method is extended to solve nonlinear two- and three-dimensional mixed Volterra-Fredholm integral equations. We consider a nonlinear operator of these integral equa- tions and then develop the iterative method which was introduced in [J MATH ANAL APPL. 316 (2006) 753-763] to solve them. Conver- gence property of the suggested schemes are proved under some mild assumptions. In both cases, numerical examples are given to compare the performance of the proposed method with some existing methods. [ABSTRACT FROM AUTHOR]