| 对流占优扩散方程的一种基于斜线性插值的特征差分算法 |
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| 引用本文： | 黄素珍.对流占优扩散方程的一种基于斜线性插值的特征差分算法[J].盐城工学院学报(自然科学版),2006,19(2):56-61. |
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| 作者姓名： | 黄素珍 |
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| 作者单位： | 盐城工学院,基础教学部,江苏,盐城,224003 |
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| 摘 要： | 将特征线法和有限差分法相结合，借助于斜线性插值。给出了求解对流占优扩散方程数值解的一种新的特征差分格式。并研究了算法的收敛性。该算法的优点是特别适用于求解变系数的对流占优扩散方程。能更有效地消除数值振荡现象。
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| 关 键 词： | 对流占优扩散方程 特征线差分法 斜线性插值 收敛性 |
| 文章编号： | 1671-5322（2006）02-0056-06 |
| 收稿时间： | 2006-01-10 |
| 修稿时间： | 2006年1月10日 |
Skew Linear Interpolation Characteristic Difference Method for Convection-dominated Diffusion Equation |
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| HUANG Su-zhen.Skew Linear Interpolation Characteristic Difference Method for Convection-dominated Diffusion Equation[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2006,19(2):56-61. |
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| Authors: | HUANG Su-zhen |
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| Institution: | Department of Foundamental Sciences,Yancheng Institute of Technology,Jiangsu Yancheng 224003,China |
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| Abstract: | A new kind of characteristic - difference scheme for convection - dominated diffusion equations is constructed by combining characteristic method with the finite - difference method and with the skew linear interpolation method, The convergence of the characteristic - difference scheme is studied. The advantage of this scheme is very adaptable to obtain the solution of the e- quations with variable coefficient and can eliminate the numerical oscillations more efficiently. |
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| Keywords: | convection- diffusion equations characteristic -difference scheme skew linear interpolation convergence |
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