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| 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 |
| Skew Linear Interpolation Characteristic Difference Method for Convection-dominated Diffusion Equation |
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| DOI：10.3969/j.issn.1671-5322.2006.02.016 |
| 中文关键词: 对流占优扩散方程 特征线差分法 斜线性插值 收敛性 |
| 英文关键词: convection-diffusion equations characteristic-difference scheme skew linear interpolation convergence |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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 equations with variable coefficient and can eliminate the numerical oscillations more efficiently. |
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