A Comparative Study of A New High Order Iterative Poisson Solver.

In order to improve the accuracy of solutions of partial differential equations (PDEs), the formulation of higher order solvers may be inevitable. In this paper, we propose a new fourth-order finite difference scheme derived from the nine-point approximation formula on the rotated grid in solving the two-dimensional Poisson PDE with Dirichlet boundary conditions. Several numerical experiments are carried out and the results are compared with the analytical solutions to verify the higher accuracy of the presented schemes. [ABSTRACT FROM AUTHOR]