IMPROVED DIFFERENCE APPROXIMATIONS TO THE HEAT-EQUATION

被引：7

作者：

LICK, W

机构：

[1] Univ of California, Santa Barbara,, CA, USA, Univ of California, Santa Barbara, CA, USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1985年 / 21卷 / 11期

关键词：

MATHEMATICAL TECHNIQUES - Difference Equations;

D O I：

10.1002/nme.1620211103

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A method for obtaining difference equations from differential equations which has previously been applied to ordinary differential equations is here applied to the time-dependent heat conduction equation as a representative example of parabolic partial differential equations. Explicit difference equations are derived which are stable for all values of alpha DELTA t/ DELTA x**2 and are also accurate, Implicit algorithms with improved accuracy are also derived, Problems incartesian and cylindrical co-ordinates are treated. (Author abstract(

引用

页码：1957 / 1969

页数：13