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数值级数法求解一维对流扩散方程

刘明鼎 刘春霞

长春大学学报(自然科学版)Issue(8):965-968,972,5.
长春大学学报(自然科学版)Issue(8):965-968,972,5.

数值级数法求解一维对流扩散方程

Numerical Series Method for Solving One-dimensional Convection Diffusion Equation

刘明鼎 1刘春霞1

作者信息

  • 1. 青岛理工大学 琴岛学院,山东 青岛 266106
  • 折叠

摘要

Abstract

A new way called numerical series method is introduced to solve one-dimensional convection diffusion equation.The feature of this method is that the numerical solutions are expressed by series at each grid point.Numerical example shows that this method has high precision with the calculation of former six terms,it also has good convergence and stability,which proves that it is a practical method.

关键词

一维对流扩散方程/数值级数法/收敛性/无条件稳定

Key words

one-dimensional convection diffusion equation/numerical series method/convergence/unconditional stable

分类

数理科学

引用本文复制引用

刘明鼎,刘春霞..数值级数法求解一维对流扩散方程[J].长春大学学报(自然科学版),2013,(8):965-968,972,5.

基金项目

国家自然科学基金(11271101) (11271101)

长春大学学报(自然科学版)

1009-3907

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