| 二维Laplace方程Dirichlet问题的数值解法 |
| |
| 引用本文： | 薛晓.二维Laplace方程Dirichlet问题的数值解法[J].高师理科学刊,2010,30(4):27-29. |
| |
| 作者姓名： | 薛晓 |
| |
| 作者单位： | 西北农林科技大学,理学院,陕西,杨凌,712100 |
| |
| 摘 要： | 将二维Laplace方程Dirichlet边值问题转化为第2类边界积分方程求解,常用配置法或Galerkin法计算积分方程,但计算积分耗去大量机时.用Nystrom数值方法能有效克服这些困难,数值算例表明,Nystrom近似解法简单、有效.
|
| 关 键 词： | Dirichlet问题 边界积分方程 Nystrom方法 |
Numerical method for Dirichlet problem of 2-D Laplace equation |
| |
| XUE Xiao.Numerical method for Dirichlet problem of 2-D Laplace equation[J].Journal of Science of Teachers＇College and University,2010,30(4):27-29. |
| |
| Authors: | XUE Xiao |
| |
| Institution: | XUE Xiao(School of Science,Northwest Agriculture and Forestry University,Yangling 712100,China) |
| |
| Abstract: | The Dirichlet problem of two-dimensional Laplace equation is transformed into the second kind integral equation.The Galerkin method or collocate method is usually used to solve this kind integral equation,but there are some difficulties such as compute cost.Nystrom numerical method was considered to solve this integral equation.The numerical experiments show the feasibility and efficiency of the presented method. |
| |
| Keywords: | Dirichlet problem boundary integral equation Nystrom method |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
