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

被引：0

作者：

Zhi-zhong Sun

You-lan Zhu

机构：

[1] Southeast University,Department of Applied Mathematics

[2] UNC at Charlotte,Department of Mathematics

来源：

Numerische Mathematik | 2004年 / 97卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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∞ convergence are proved. A numerical example demonstrates the theoretical results.

引用

页码：379 / 395

页数：16