在Crank-Nicolson格式下解对流扩散问题

Abstract

Abstract:

The authors construct Crank-Nicolson difference scheme on moving mesh for a class of non-constant singularly perturbed convection-diffusion problem with source term, and introduce the iterative method and algorithm of moving mesh. The authors compare the error on moving mesh and uniform mesh by numerical experiments, and prove that it can decrease numerical oscillation effectively when
using Crank-Nicolson difference scheme on moving mesh.

Key words: Singular perturbation, Convection-diffusion, Moving mesh, Crank-Nicolson difference scheme

CLC Number:

65M11

Cite this article

YANG Yin, ZHOU Qin. Crank-Nicolson Difference Scheme for Convection-Diffusion Problem by Using |Moving Mesh Method[J].Acta mathematica scientia,Series A, 2011, 31(4): 1063-1070.

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References

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[6] 魏剑英, 葛永斌, 田振夫.一种求解一维对流扩散方程的高精度紧致隐式差分格式. 宁夏大学学报(自然科学版), 2007, 28(2): 120--123

[7] 张小峰, 陆俊卿, 易灵.求解一维对流扩散方程的一种高精度数值格式. 武汉大学学报, 2005, 38(2): 10--14

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Crank-Nicolson Difference Scheme for Convection-Diffusion Problem by Using |Moving Mesh Method

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