摘要
本文对对流方程ut＝aux建立了中间层包含两个节点，带两个参变量m，k的一般三层显格式．当m，k满足一定关系时，上述格式变为二阶格式．稳定性分析表明，当参数k＜1／2时，格式的稳定条件为网格比的绝对值不超过1，这一点区别于色散方程的类似情况．
The general three-level explicit difference schemes with two parameters m and k, including two knots in the middle level is presented, for the convectional equation ut=aux,which become two order scheme when m and k satisfy the definite relation. The analysis on stability shows that the stability region is not larger than (0,1], which is different from that of the dispersive equation.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
北大核心
1998年第3期27-30,共4页
Acta Scientiarum Naturalium Universitatis Nankaiensis
