抛物方程高精度高稳定显格式研究  

High Accuracy and Stable Explicit Scheme for the Parabolic Equation

作　　者：袁权龙[1] 詹再东[1] 

机构地区：[1]贵州大学理学院数学系,贵州贵阳550025

出　　处：《山西师范大学学报（自然科学版）》2009年第4期27-30,共4页Journal of Shanxi Normal University(Natural Science Edition)

摘　　要：本文采用待定系数法导出了一类抛物型方程的高精度三层显式差分格式,它的截断误差为O(τ2+h4),并讨论了差分格式的稳定性条件为r∈(0,21].最后用数值例子验证了理论分析的正确性,这个结果优于Mann,Tim Lake稳定性条件r∈(0,31]的结果.In this paper,we produced a kind of high accuracy three-level explicit difference scheme for the parabolic equation used for an undetermined coefficient method. The truncation error of the scheme is O（τ^2＋h^4）, And the stable condition is r∈（0,1/2] to be discussed. We proved theoretical analysis by using a numerical example. The correction is superior than Mann and Tim Lake＇s stable condition r∈（0,1/3].

关 键 词：抛物型方程 三层显式差分格式 高精度 稳定性条件 

分 类 号：O175.26[理学—数学]