色散方程两层稳定的偏心隐格式  

Two Groups Partial-node Implicit Schemes for Dispersive Equation

作　　者：花小琴[1] 胥德平[2] 胡明[1] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003 [2]成都理工大学信息管理学院,四川成都610059

出　　处：《江苏科技大学学报（自然科学版）》2007年第2期34-36,共3页Journal of Jiangsu University of Science and Technology:Natural Science Edition

摘　　要：利用组合差商法对色散方程ut=auxxx的初边值问题,构造了两组带参数两层四点偏心隐式差分格式PL2,PR2,其截断误差为ο(τ+h2),稳定性随参数变化而变化。特殊的,若令某个节点前的系数为0,则得到二阶的半显格式。最后的数例既验证了理论分析的正确性,也说明了特取参数可以增强格式应用的灵活性。Two groups of partial-node implicit schemes P2^L and P2^R, which are two-level and contain parameters, are designed for solving the initial boundary value problem of the dispersive equation ut = auxxx with combined difference solution. Their truncation errors are o（τ＋h^2）and their stabilities depend on the parameters. Especially, let some coefficients of the nodes be 0, two order semi-explicit difference schemes can be deduced. The last numerical example not only proves the result from the theoretical analysis, but also shows that the pa- rameters in schemes can improve their flexibility.

关 键 词：色散方程 组合差商法 偏心隐格式 半显格式 

分 类 号：O241.82[理学—计算数学]