A second order accurate difference scheme for the heat equation with concentrated capacity

被引：16

作者：

Sun, ZZ ^{[1
]}

Zhu, YL

机构：

[1] SE Univ, Dept Appl Math, Nanjing 210096, Jiangsu Provinc, Peoples R China

[2] Univ N Carolina, Dept Math, Charlotte, NC 28223 USA

来源：

NUMERISCHE MATHEMATIK | 2004年 / 97卷 / 02期

关键词：

Theoretical Result; Difference Scheme; Heat Equation; Concentrate Capacity; Accurate Difference;

D O I：

10.1007/s00211-003-0462-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical solution to the one-dimensional heat equation with concentrated capacity is considered. A second-order accurate difference scheme is derived by the method of reduction of order on non-uniform meshes. The solvability, stability and second order L-infinity convergence are proved. A numerical example demonstrates the theoretical results.

引用

页码：379 / 395

页数：17

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