Parallel Alternating Group Explicit Iterative Method For Convection-Diffusion Equations

In this paper, based on an unconditionally stable finite difference implicit scheme, we present a concept of deriving a class of effective alternating group explicit iterative method(AGEI) for periodic boundary value problem of convection-diffusion equations, and then give two AGEI methods. The AGEI methods are verified to be convergent, and have the property of parallelism. Results of numerical experiments show that the methods are of higher accuracy than the original AGE method in [1], and will not lead to numerical instability in convection dominant case.