节点文献
关于对流方程的一类三层显格式
ON A KIND OF THREE-LEVEL EXPLICIT DIFFERENCE SCHEMES FOR THE CONVECTIONAL EQUATION
【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.
【Abstract】 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.
【关键词】 对流方程;
左偏心;
右偏心;
稳定域;
【Key words】 convectional equation; left eccentric; right eccentric; stability region;
【Key words】 convectional equation; left eccentric; right eccentric; stability region;
- 【文献出处】 南开大学学报(自然科学版) ,JOURNAL OF NANKAI UNIVERSITY , 编辑部邮箱 ,1998年03期
- 【分类号】O241.8
- 【被引频次】4
- 【下载频次】59