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基于 Crank-Nicolson 格式的移动网格算法求解对流扩散问题

魏伟平 颜克清

纺织高校基础科学学报2016,Vol.29Issue(1):59-65,7.
纺织高校基础科学学报2016,Vol.29Issue(1):59-65,7.DOI:10.13338/j.issn.1006-8341.2016.01.010

基于 Crank-Nicolson 格式的移动网格算法求解对流扩散问题

Moving mesh method for solving convection-diffusion problems by Crank-Nicolson scheme

魏伟平 1颜克清1

作者信息

  • 1. 长安大学 理学院,陕西 西安 710064
  • 折叠

摘要

Abstract

A Crank-Nicolson difference scheme on moving mesh for a class of unsteady singularly perturbed convection-diffusion problem with source term was constructed,and its iterative method and algorithm were introduced.The error on moving mesh and that on uniform mesh was compared by numerical experiments,and it proved that one of the effective methods for solving singular perturbation when using Crank-Nicolson difference scheme on moving mesh.

关键词

对流扩散/奇异摄动/Crank-Nicolson 差分格式/移动网格

Key words

convection-diffusion/singular perturbation/Crank-Nicolson difference scheme/moving mesh

分类

数理科学

引用本文复制引用

魏伟平,颜克清..基于 Crank-Nicolson 格式的移动网格算法求解对流扩散问题[J].纺织高校基础科学学报,2016,29(1):59-65,7.

基金项目

Supported by the National Natural Science Foundation of China(11171043) (11171043)

the National Key Basic Re-search Project of China(CHD2012TD015) (CHD2012TD015)

纺织高校基础科学学报

OACSTPCD

1006-8341

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