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| 对流占优扩散方程的特征线楔形基无网格法 | |
| 引用本文： | 王丽华,秦新强,王全九.对流占优扩散方程的特征线楔形基无网格法[J].数学杂志,2012,32(1):99-107. |
| 作者姓名： | 王丽华 秦新强 王全九 |
| 作者单位： | 1. 西安理工大学理学院,陕西西安710054;宝鸡文理学院机电工程系,陕西宝鸡721007 2. 西安理工大学理学院,陕西西安,710054 3. 西安理工大学水利水电学院,陕西西安,710048 |
| 摘 要： | 本文研究了一维对流占优扩散方程的初边值问题.利用特征线法与楔形基无网格法,获得了特征线楔形基无网格显格式与隐格式算法.数值实验表明算法具有精度高、计算简单等优点. |
| 关 键 词： | 对流占优 特征线法 无网格法 楔形基 |
THE CHARACTERISTIC RIDGE BASIS MESHLESS METHOD FOR CONVECTION-DOMINATED DIFFUSION EQUATIONS |
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| WANG Li-hua , QIN Xin-qiang , WANG Quan-jiu.THE CHARACTERISTIC RIDGE BASIS MESHLESS METHOD FOR CONVECTION-DOMINATED DIFFUSION EQUATIONS[J].Journal of Mathematics,2012,32(1):99-107. | |
| Authors: | WANG Li-hua QIN Xin-qiang WANG Quan-jiu |
| Institution: | 1.School of Science,Xi’an University of Technology,Xi’an 710054,China)(2.Department of Mechanical and Electrical Engineering,Baoji University of Arts and Sciences,Baoji721007,China)(3.Faculty of Water Resource and Hydraulic Power,Xi’an University of Technology,Xi’an 710048,China) |
| Abstract: | In this article,we discuss the initial-boudary value problem of one-dimensional convection-dominated diffusion equations.By using the characteristic method and the ridge basis meshless method,we obtain the implicit scheme method and the explicit scheme method of the characteristic ridge basis meshless method.The numerical experiments show that the method has higher accuracy and is easy to calculate. |
| Keywords: | convection-dominated characteristic method meshless method ridge basis |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |