Maximum norm error estimates of the Crank-Nicolson scheme for solving a linear moving boundary problem

被引：8
|
作者：
Cao, Wan-Rong [1 ,2 ]
Sun, Zhi-Zhong [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 08期
基金：
中国博士后科学基金;
关键词：
Moving boundaries; Crank-Nicolson scheme; Energy analysis; Stability; Convergence; NUMERICAL-SOLUTION; ELASTIC MEMBRANE; MESH; DEFORMATION; EQUATIONS; MODEL;
D O I：
10.1016/j.cam.2010.03.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Crank-Nicolson scheme is considered for solving a linear convection-diffusion equation with moving boundaries. The original problem is transformed into an equivalent system defined on a rectangular region by a linear transformation. Using energy techniques we show that the numerical solutions of the Crank-Nicolson scheme are unconditionally stable and convergent in the maximum norm. Numerical experiments are presented to support our theoretical results. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2578 / 2586
页数：9
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