| 一阶偏微分方程的特征线法 |
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| 引用本文： | 魏雪蕊.一阶偏微分方程的特征线法[J].绍兴文理学院学报,2010(1). |
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| 作者姓名： | 魏雪蕊 |
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| 作者单位： | 绍兴文理学院数学系; |
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| 摘 要： | 介绍了一阶偏微分方程特征线法的由来、几何意义及求解的基本思想.
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| 关 键 词： | 一阶偏微分方程 特征方程 特征线 |
Method of Characteristics of the First-order Partial Differential Equations |
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| Wei Xuerui.Method of Characteristics of the First-order Partial Differential Equations[J].Journal of Shaoxing College of Arts and Sciences,2010(1). |
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| Authors: | Wei Xuerui |
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| Institution: | Wei Xuerui(Department of Mathematics,Shaoxing University,Shaoxing,Zhejiang,312000) |
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| Abstract: | By the characteristic equation,the first-order partial differential equations translate into the system of ordinary differential equations.This is called the method of characteristics.The present paper introduces the origin,the geometric significance and the fundamental idea of solving the method of characteristics. |
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| Keywords: | first-order partial differential equations characteristic equation method of characteristics |
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