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一维定常型对流占优扩散方程的一类迎风有限体积格式

王同科

应用数学2004,Vol.17Issue(4):544-550,7.
应用数学2004,Vol.17Issue(4):544-550,7.

一维定常型对流占优扩散方程的一类迎风有限体积格式

A Class of Upwind Finite Volume Schemes for One-Dimensional Steady Convection-Dominated Diffusion Equations

王同科1

作者信息

  • 1. 天津师范大学数学科学学院,天津,300074
  • 折叠

摘要

Abstract

In this paper, a class of upwind finite volume scheme is presented for one dimensional steady convection-dominated diffusion equations. The scheme has second order accuracy for convective term and first order accuracy for diffusive term, which completely coincides with the character of strong convection and weak diffusion for convection-dominated diffusion problems.

关键词

一维定常型对流占优扩散方程/迎风有限体积格式/误差估计

Key words

One-dimensional steady convection-dominated diffusion equation/Upwind finite volume scheme/Error estimate

分类

数理科学

引用本文复制引用

王同科..一维定常型对流占优扩散方程的一类迎风有限体积格式[J].应用数学,2004,17(4):544-550,7.

基金项目

The work is supported by the Doctoral Foundation of Tianjin Normal University(5RL023) (5RL023)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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