Application Of The Alternating Group Explicit Method For Convection-Diffusion Equations

Based on an unconditionally stable finite difference implicit scheme, we present a concept of deriving a class of effective alternating group explicit iterative method for periodic boundary value problem of convectiondiffusion equations, and then give two iterative methods. The methods are verified to be convergent, and have the property of parallelism. Furthermore we construct an alternating group explicit difference method and another iterative method. All of the methods are suitable for parallel computation. Results of numerical experiments show that the methods are of higher accuracy than the known methods in [1,2,6], and will not lead to numerical instability in convection dominant case. Key–Words: iterative method, iterative method, parallel computing, alternating group, parabolic equations