FINITE DIFFERENCE METHOD AND ITS CONVERGENT ERROR ANALYSES FOR THERMISTOR PROBLEM

被引：0
|
作者：
Zhao Weidong Dept. of Math.
机构：
来源：
Applied Mathematics:A Journal of Chinese Universities | 1999年 / 03期
关键词：
Therm istor; difference schem e; error estim ate;
D O I：
暂无
中图分类号：
TB115 [计算数学的应用];
学科分类号：
0701 ; 070104 ;
摘要：
The therm istor problem is an initial-boundary value problem ofcoupled nonlineardif- ferentialequations.The nonlinear PDEs consist of a heat equation w ith the Joule heating as a source and a currentconservation equation w ith tem perature-dependentelectricalconductivity. This problem has im portant applications in industry.In this paper,A new finite difference schem e is proposed on nonuniform rectangularpartition forthe therm istor problem .In thetheo- reticalanalyses,the second-order error estim ates are obtained for electricalpotentialin discrete L2 and H1 norm s,and for the tem perature in L2 norm .In order to getthese second-order error estim ates,the Joule heating source is used in a changed equivalentform .
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页码：349 / 358
页数：10
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