色散方程两组三阶恒稳显格式  

Two Groups of Three Order Absolutely Stable Explicit Schemes for Dispersive Equation

作　　者：花小琴[1] 张大凯[2] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003 [2]贵州大学理学院,贵州贵阳550025

出　　处：《数学的实践与认识》2009年第14期201-206,共6页Mathematics in Practice and Theory

摘　　要：采用组合差商法对色散方程ut=auxxx(a为常数)的初边值问题,构造了两组互为对称带参数的三层显式差分格式.它们空间宽度为4,其局部截断误差为O(τ+h3),绝对稳定.而且计算时无方向性的约束,即不管a的符号如何,每一组格式均可以计算.最后给出了数值例子,数值结果表明了理论分析的正确性.Two groups of explicit schemes have been designed for solving the initial boundary value problem of the dispersive equation u, = auxxx by the combined difference quotient method. They are 3-level with weighting coefficients and symmetric in form. The schemes combined the net points in three time levels and four spacial columns. Their truncation errors are O（τ ＋ h^3） and absolutely stable. Above all, they will not be controlled by direction. The last numerical example proves the result of theoretical analysis.

关 键 词：色散方程 组合差商法 显格式 高精度 稳定性 

分 类 号：O241.82[理学—计算数学] O175.29[理学—数学]