| 正方形环域Laplace方程的简明数值解法 |
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| 引用本文： | 刘大卫,高明.正方形环域Laplace方程的简明数值解法[J].沈阳师范大学学报(自然科学版),2006,24(2):166-169. |
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| 作者姓名： | 刘大卫 高明 |
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| 作者单位： | 1. 贵州工业大学,基础部,贵州,贵阳,550003
2. 沈阳师范大学,物理科学与技术学院,辽宁,沈阳,110034;沈阳师范大学,实验中心,辽宁,沈阳,110034 |
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| 摘 要： | 通过正方形环域的Laplace方程的数值求解过程,详细介绍了使用MATLAB求解微分方程的方法.用MATLAB的M文件,生成正方形环域,用函数numgrid作网格划分,用函数delsq建立五点差分格式建立并求解拉普拉斯方程第一边值问题.
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| 关 键 词： | Laplace方程 差分法 |
| 文章编号： | 1673-5862(2006)02-0166-04 |
| 收稿时间： | 2005-12-10 |
| 修稿时间： | 2005年12月10 |
Simple Numerical Computation of Laplace's Equation on Square with Smaller Square Hole |
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| LIU Da-wei,GAO Ming.Simple Numerical Computation of Laplace''''s Equation on Square with Smaller Square Hole[J].Journal of Shenyang Normal University: Nat Sci Ed,2006,24(2):166-169. |
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| Authors: | LIU Da-wei GAO Ming |
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| Institution: | 1. Guizhou University of Technology, Guiyang 550003, China; 2. College.of Physics Science and Technology, Shenyang Normal University, Shenyang 110034, China; 3. Experimental Center, Shenyang Normal University, Shenyang 110034, China |
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| Abstract: | A numerical methood of solving Laplace equation by using MATLAB was discussed,the main steps can be followed as:generate a new available region by editing MATLAB's M-file,using numgrid and delsq,solve the finite difference of Laplace's equation with Dirichlet boundary value problem. |
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| Keywords: | MATLAB |
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