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(
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页码：1957 / 1969
页数：13
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