| 二维对流扩散方程的基于Boole和逼近的交替方向特征差分格式 |
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| 引用本文： | 王同科.二维对流扩散方程的基于Boole和逼近的交替方向特征差分格式[J].数值计算与计算机应用,2002,23(2):153-160. |
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| 作者姓名： | 王同科 |
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| 作者单位： | 山东大学数学院,济南,250100;河南师范大学数学系,新乡,453002 |
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| 基金项目： | 国家自然科学基金项目(19972039)，国家教育部博士点基金资助项目(96042202). |
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| 摘 要： | 51.引言关于对流扩散方程的求解,特征差分方法是其有效方法之一【1,2,3].由于采用了沿特征线离散技术,需要对网格点作插值处理,通常采用的办法是使用线性或二次插值函数.对于线性插值,直接导致误差
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| 修稿时间： | 2000年9月22日 |
ALTERNATING DIRECTION DIFFERENCE SCHEME ALONG CHARACTERISTICS FOR TWO-DIMENSIONAL CONVECTION-DIFFUSION EQUATION BASED ON BOOLE SUM APPROXIMATION |
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| Wang Tongke.ALTERNATING DIRECTION DIFFERENCE SCHEME ALONG CHARACTERISTICS FOR TWO-DIMENSIONAL CONVECTION-DIFFUSION EQUATION BASED ON BOOLE SUM APPROXIMATION[J].Journal on Numerical Methods and Computer Applications,2002,23(2):153-160. |
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| Authors: | Wang Tongke |
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| Abstract: | This paper presents an alternating direction implicit difference scheme along characteristics for two-dimensional convection-diffusion equation based on Boole sum approximation and proves that the method is stable and convergent in discrete l2 norm with order. Finally, an example is computed by different interpolation methods and the numerical results show that the method in this paper is very effective. |
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| Keywords: | two-dimensional convection-diffusion equation Boole sum ap-proximation alternating direction characteristic difference scheme stability con-vergence |
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