THE AL TERNATING S EGMENT CRAN K-NICOLSON METHOD FOR SOLVING CONVECTION-DI FFUSION EQUATION WI TH VARIABL E COEFFICI ENT X
Allied Mathematics and Mechanics, 2003, 24 (1): 32-42，-0001，（）：
A new discrete approximation to the convection term of the covection-diffusion equation was constructed in Saul'yev type difference scheme, then the alternating segment Crank-Nicolson (ASC-N) method for solving the convection- diffusion equation with variable coefficient was developed. The ASC-N method is unconditionally stable. Numerical experiment shows that this method has the obvious property of parallelism and accuracy. The method can be used directly on parallel computers.
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