高等学校计算数学学报
高等學校計算數學學報
고등학교계산수학학보
NUMERICAL MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
2002年
4期
307-312
,共6页
convection-diffusion equation%subdomain precise integrationmethod%alternating group explicit iterative (AGEI) method%convergence
Based on subdomain precise integration method, a class of two-levelimplicit schemes containing parameter a＞0 for the initial-boundary value prob-lem of convection-diffusion equation are presented. Their local truncation errorsare O(a△t+△t2+△x2). The implicit schemes are unconditionally stable for all a＞0. Then on the basis of the implicit schemes, an alternating group explicit iter-ative (AGEI) method is proposed, and convergence of the iterative process isproved. Because the whole calculation process is explicit, so the AGEI method isvery suitable to parallel arithmetic. Numerical example shows that the AGEImethod has high accuracy and good practicability.
