| 一阶线性偏微分方程求解的教学方法新探 |
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| 引用本文： | 张玲,李时敏.一阶线性偏微分方程求解的教学方法新探[J].滁州学院学报,2011,13(2):88-89. |
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| 作者姓名： | 张玲 李时敏 |
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| 作者单位： | 滁州学院数学系,安徽滁州,239000 |
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| 摘 要： | 通过常微分方程与偏微分方程之间的关系我们寻找到一种特殊的规范变换,通过此变换将复杂的偏微分方程的求解转化为可积分的偏微分方程(含参数的常微分方程)的求解.
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| 关 键 词： | 一阶线性偏微分方程 常微分方程 积分曲线 特征曲线 |
A New Exploration of Teaching Method about Solving the First Order Linear Partical Differential Equation |
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| Zhang Ling,Li shimin.A New Exploration of Teaching Method about Solving the First Order Linear Partical Differential Equation[J].Journal of Chuzhou University,2011,13(2):88-89. |
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| Authors: | Zhang Ling Li shimin |
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| Institution: | (Department of Mathematics,Chuzhou University,Chuzhou 239000,China) |
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| Abstract: | We get a special gauge transformation by the relations between ordinary differential equation and partial differential equation.Futhermore,we can tranform solving the complicated partial differential equation to solving the integrable partial differential equation(the ordinary differential equation within parameters). |
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| Keywords: | the first order linear partial differential equation ordinary differential equation integral curve characteristic curve |
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