G-S and SOR Iterative Methods for 2-dimensional Particle Transport Problem

The most basic transport iteration method is source iteration.For the simple physical system,source iteration converges fast.But when the physical system is complicated,it is inefficient.In the paper,we shall use Gauss-Seidel(G-S) and Successive Over Relaxation(SOR) iterative methods to solve the particle transport problem to accelerate the convergence speed.Numerical experiments show iterates and CPU time needed for convergence are less than those of the source iteration.