THE STABILITY OF DIFFERENCE-SCHEMES WITH VARIABLE WEIGHTS FOR TEE ONE-DIMENSIONAL HEAT-CONDUCTION EQUATION

被引：0

作者：

DEGTYARYEV, SL

机构：

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1994年 / 34卷 / 8-9期

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D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stability criterion for a two-layer difference scheme with variables in the space of weight multipliers for the one-dimensional heat-conduction equation is obtained. The problem with a variable coefficient is examined on a non-uniform grid. In order to overcome restrictions an the time step, it is proposed to use a locally implicit scheme in the range of small spatial steps or a high thermal conductivity. Specific recommendations regarding the choice of the weighting factors are made.

引用

页码：1141 / 1146

页数：6

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