| Abel型常微分方程的Maple求解 |
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| 引用本文： | 陈誌敏.Abel型常微分方程的Maple求解[J].黄冈师范学院学报,2006,26(3):8-10,48. |
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| 作者姓名： | 陈誌敏 |
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| 作者单位： | 武汉工交职业学院,湖北,武汉,430205 |
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| 摘 要： | 介绍了使用M ap le 9.5求解非常数不变式的A bel型方程的方法.在诸多的应用领域里,不少问题的数学模型常常可用A bel型方程来表示.而非常数不变式(non-constant invariants)的A bel型方程的求解极为困难.用数学软件M ap le求解A bel型方程,是通过解决相关的等价问题,从而求解与可积类(integrab le classes)方程等价的任何一个方程.M ap le的ode-pde程序包具有强大的解算符号微分方程的功能,这是其它数学软件所不能比拟的.它是诸多应用领域内处理A bel型等特殊类型微分方程的十分有效的计算工具.
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| 关 键 词： | Abel型方程 Maple 非常数不变式 |
| 文章编号： | 1003-8078（2006）03-0008-03 |
| 收稿时间： | 02 27 2006 12:00AM |
| 修稿时间： | 2006-02-27 |
Solving Abel ODEs with Math software Maple |
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| CHEN Zhi-min.Solving Abel ODEs with Math software Maple[J].Journal of Huanggang Normal University,2006,26(3):8-10,48. |
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| Authors: | CHEN Zhi-min |
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| Institution: | Wuhan Institute of Industry and Communication, Wuhan 430205, China |
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| Abstract: | This article introduces how to use Maple(9.5) to solve Abel equations with non-constant(invariants.) In many situations,we can use Abel equations to express math models,although the Abel(equations) with non-constant invariants are difficult to be solved.We solve Abel equations with math software Maple through solving the problems of equivalence to integrable equations.The function of ode-pde program package in Maple is excellent to be used to solve symbolic differential equation.Up to now,the package can not be replaced by any other math tool in solving special differential equations,such as Abel equation in many application fields. |
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| Keywords: | Abel ODE Maple non-constant invariant |
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