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二维拉普拉斯方程的格林函数法教学研究
引用本文:梁勇,吴自库.二维拉普拉斯方程的格林函数法教学研究[J].渭南师范学院学报,2007,22(5):20-22.
作者姓名:梁勇  吴自库
作者单位:1. 青岛科技大学,数理学院,山东,青岛,266042
2. 莱阳农学院,山东,青岛,266109
摘    要:多数工程数学物理方程教科书均以三维拉普拉斯方程为背景来建立格林函数法,而对于二维拉普拉斯方程的格林函数法多融合在习题中.文章对平面问题上的格林函数法进行了初步讨论,制定了通俗易懂的教学方案,使学生顺利掌握该种方法,达到教学目的.

关 键 词:拉普拉斯方程  格林公式  格林函数
文章编号:1009-5128(2007)05-0020-03
修稿时间:2007-04-05

Teaching Research on the Green's Function Approach of the Two-dimensional Laplace Equation
LIANG Yong,WU Zi-ku.Teaching Research on the Green''''s Function Approach of the Two-dimensional Laplace Equation[J].Journal of Weinan Teachers College,2007,22(5):20-22.
Authors:LIANG Yong  WU Zi-ku
Institution:1 Mathematics and Physics Department, Qingdao University of Science and Technology, Qingdao 266042, China; 2 Laiyang Agronomy College, Qingdao 266109, China
Abstract:Green's Function Approach is based on the three-dimensional Laplace equation in most of the textbooks on the engineering mathematical physics,while the Green's Function Approach of the two-dimensional Laplace equation only appears in the exercises.This paper holds a preliminary discussion on the two-dimensional Green's Function Approach,and sets down easy and understandable teaching plans in order that the students can master the Approach and the teaching aim can be achieved.
Keywords:Laplace equation  Green's formula  Green's function  
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