| 应用分离变量法求解静电场的一点见解 |
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| 引用本文： | 吴志荣,林杞楠.应用分离变量法求解静电场的一点见解[J].宁波职业技术学院学报,2007,11(2):11-14. |
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| 作者姓名： | 吴志荣 林杞楠 |
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| 作者单位： | 1. 宁波职业技术学院,浙江,宁波,315800
2. 天津大学,电子信息工程学院,天津,300072 |
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| 摘 要： | 分离变量法是求解静电场边值问题常用的方法。当边界在某一坐标区间内存在跃变点时,如何适当处理问题是值得注意的。限于篇幅,只讨论在直角坐标中边界存在跃变时静态场计算的两个问题,说明利用间断边界条件确定系数与单纯的傅里叶级数展开是有所区别的,应适当进行处理,以避免得出矛盾的结论。本文就此提出的一点见解,对正确应用分离变量法具有一定参考价值。
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| 关 键 词： | 直角坐标系 分离变量法 跃变点 |
| 文章编号： | 24240837 |
| 修稿时间： | 01 17 2007 12:00AM |
Idea of segregation variable method application |
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| WU Zhi-rong,LIN Qi-nan.Idea of segregation variable method application[J].Journal of Ningbo Polytechnic,2007,11(2):11-14. |
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| Authors: | WU Zhi-rong LIN Qi-nan |
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| Institution: | 1.Ningbo Polytechnic, Ningbo 315800, China; 2.Tianjin University, Tianjin 300072, China |
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| Abstract: | Segregation variable method is a routine procedure applied to boundary value in electrostatic field.Appropriate meth-ods are very important when there is a breakpoint within a boundary in a coordinate interval.Static field calculating in Cartesian Coordinates when boundary jump discontinuity existing are discussed according the article length.The solution of defining coefficient by using jump discontinuity boundary different from simple Fourier series deploying,it is important to make a process about the solution in case of getting contrary conclusion,and it is valuable for using separation variables solution. |
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| Keywords: | rectangular coordinate system segregation variable method breakpoint |
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