The Alternating Segment Crank-Nicolson Method for Solving Convection-Diffusion Equation With Variable Coeffcient
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摘要: 对Saul'yev型格式中的对流项构造了一种新的离散化逼近形式,进而给出了变系数对流-扩散方程的Crank-Nicolson方法.这个方法是绝对稳定的.数值实验表明该方法并行性好,精度高,宜于直接在并行计算机上使用.Abstract: 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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