New high order iterative scheme in the solution of convection-diffusion equation

Abstract

Abstract. In this paper, a new fourth-order nine-point finite difference scheme based on the rotated grid combined with the traditional Successive Over Relaxation (SOR)-type iterative method is discussed in solving the two-dimensional convection-diffusion partial differential equation (pde) with variable coefficients. Numerical experiments are carried out to verify the high accuracy solution of the scheme. Comparisons with the exact solutions also show that the rotated scheme converges faster than the existing compact scheme of the same order.