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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article

Cao, Wan-Rong^1,2  Sun, Zhi-Zhong¹ 

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[2] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China

关键词: Moving boundaries;    Crank-Nicolson scheme;    Energy analysis;    Stability;    Convergence;   

DOI  :  10.1016/j.cam.2010.03.024

来源: Elsevier

【 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.

【 授权许可】

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