| 对流扩散方程的一种高精度特征差分格式 |
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| 引用本文： | 黄素珍,张鲁明.对流扩散方程的一种高精度特征差分格式[J].南京师大学报,2005,28(2):38-41,70. |
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| 作者姓名： | 黄素珍 张鲁明 |
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| 作者单位： | 盐城工学院基础部,224003,江苏,盐城;南京航空航天大学理学院,210016,江苏,南京 |
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| 摘 要： | 根据已发展的二阶微商三次样条四阶逼近公式，提出了基于线性插值的求解对流扩散方程特征差分格式．通过Fourier方法讨论了文中格式的稳定性．数值结果表明，本文的格式明显优于基于线性插值的特征差分格式．
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| 关 键 词： | 对流扩散方程 特征差分格式 线性插值 稳定性 高精度 |
| 文章编号： | 1001-4616(2005)02-0038-05 |
A Class of High Accuracy Characteristic Difference Method for Convection-Diffusion Equations |
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| Huang Suzhen.A Class of High Accuracy Characteristic Difference Method for Convection-Diffusion Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2005,28(2):38-41,70. |
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| Authors: | Huang Suzhen |
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| Institution: | Huang Suzhen~ |
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| Abstract: | A new kind of characteristic-difference scheme is proposed for solving convection-diffusion (equations) with the linear interpolation method.The method is based on the cubic-spline difference formulae of fourth-order accuracy for second order derivatives developed by the other authors.The stability of the characteristic-difference scheme is studied.Numerical results show that our method is better than that of the ordinary characteristic-difference scheme with linear interpolation method. |
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| Keywords: | convection-diffusion equations characteristic-difference scheme linear interpolation stability high accuracy |
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