Crank-Nicolson差分格式及其稳定性研究  

RESEARCH ON CRANK-NICOLSON DIFFERENCE SCHEME AND ITS STABILITY

作　　者：李华[1] 周维奎[1] 邓培智[2] 

机构地区：[1]成都理工学院 [2]核工业部西南物理研究院

出　　处：《矿物岩石》1998年第S1期253-256,共4页Mineralogy and Petrology

摘　　要：本文以自己独特的方式，构造了一维和二维抛物型方程的Ｃｒａｎｋ－Ｎｉｃｏｌｓｏｎ差分格式。本文不仅详细地给出了离散误差的表达式，而且论证了它们的稳定性。该差分格式具有精度高，稳定性好，计算量和存储量都比较小的特点，是一个很理想，便于应用的差分格式。In this artile,with its unique mode, it is constructed the Crank Nicolson difference scheme of one dimensional and two dimensional paradolic equation, and not only gives the expression of discretization error in detail, but also proves their stability.This difference scheme possesses high accuracy,good stability,smaller calculation and storage capacity.So the difference scheme is ideal and applicable.

关 键 词：抛物型方程 隐格式 离散误差 绝对稳定性 

分 类 号：O24[理学—计算数学]