| 色散方程两组三阶恒稳显格式 |
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| 引用本文： | 花小琴,张大凯. 色散方程两组三阶恒稳显格式[J]. 数学的实践与认识, 2009, 39(14) |
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| 作者姓名： | 花小琴 张大凯 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 色散方程 组合差商法 显格式 高精度 稳定性 |
Two Groups of Three Order Absolutely Stable Explicit Schemes for Dispersive Equation |
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| HUA Xiao-qin,ZHANG Da-kai. Two Groups of Three Order Absolutely Stable Explicit Schemes for Dispersive Equation[J]. Mathematics in Practice and Theory, 2009, 39(14) |
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| Authors: | HUA Xiao-qin ZHANG Da-kai |
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| Abstract: | Two groups of explicit schemes have been designed for solving the initial boundary value problem of the dispersive equation ut=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+h3) and absolutely stable.Above all,they will not be controlled by direction.The last numerical example proves the result of theoretical analysis. |
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| Keywords: | dispersive equation combined difference quotient method explicit scheme high accuracy stability |
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