Nystrom-quasilinear method for the numerical solution of nonlinear, 2D stochastic fredholm integral equation

In this paper, we introduce and analyze Nystrom – quasilinearization method for the numerical solution of nonlinear two dimensional stochastic fredholm integral equations, applying quasilinearization technique gives a sequence of linear equations with low smooth solutions quadratically convergent to the solution of the nonlinear equation. By analyzing the behavior of the solutions near the boundaries and choosing approximate the solution of the nonlinear equation by Nystrom method. The numerical experiment are in agreement with the theoretical results and show the efficiency of the presented method in comparison with the other methods

Keywords:

2D dimensional stochastic fredholm integral equation , Nystrom method , Quasilinearization technique.