Collocation and iterated collocation method for the numerical solution of mixed two-dimensional Volterra-Fordhelm integral integral equations on non rectangular region with its error analysis

In this paper, using the meshless method based on collocation and iterated collocation method, we investigate the numerical solution of the two-dimensional Volterra-Fordhelm integral integral equations on non-rectangular regions. This method is a meshfree method and scattered points are used to approximate the solution of the equation. The implementation of this method is simple and its calculations are done easily. The convergence of the method is checked and the numerical results show that this method is consistent with its analysis.