摘要
结合Crank-Nicolson格式和第二类Saul’yev非对称格式,设计求解对流扩散方程的交替分组显式方法.得到求解对流扩散方程的交替分组显式方法为该方法是绝对稳定的,且使用方便,适合并行计算,具有较好的精度.
An alternative segment method for solving diffusion-convection equations is given using Crank-Nicolson scheme and Saul' yev type asymmetric difference schemes. The new method uses these two equations{(I+G1)U^n+1=(I-G2)U^n+b1,(I+G2)U^n+2=(I-G1)U^n+1+b2 and{(I+G1)U^n+1=(I-G2)U^n+b1,(I+G2)U^n+2=(I-G1)U^n+1+b2 .It is unconditionally stable and can be used directly on parallel computers. The numerical experiments results show that our method has good accuracy.
出处
《广西科学》
CAS
2007年第2期124-127,共4页
Guangxi Sciences