In this paper, we give a class of Alternating Segment Crank–Nicolson (ASC-N) method for the convection-diffusion equation. The method is unconditionally stable and has the advantages of parallel computing. The numerical examples show that the accuracy of the method is better than that of the existing method in [4].
Keywords Convection-diffusion equation - parallel computing - Crank - Nicolson scheme - asymmetric difference scheme - alternating segment method
AMS Subject Classifications: 65M06, 65M12, 65Y05.This research is supported by the Natural Science Foundation of Shandong Province of China (y2003A04) and the Doctorate Foundation of the State Education Department of China