...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Computing >Algorithmic Solution of Abel's Equation
【24h】

Algorithmic Solution of Abel's Equation

机译：Abel方程的算法解

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The solution scheme for Abel's equation proposed in this article avoids to a large extent the ad hoc method that have been discovered in the last two centuries since Abel introduced the equation named after him. On the one hand, it describes an algorithmic method for obtaining almost all closed form solutions known in the literature. It is base don Lie's symmetry analysis. Secondly, for equations without a symmetry, a new method is proposed that allows to generate solutions of all equations within an equivalence class if a single representative has been solved before. It is based on functional decomposition of the absolute invariant of the equation at hand for which computer algebra algorithms have become available recently.
机译：本文提出的Abel方程的求解方案在很大程度上避免了自从Abel引入以他命名的方程以来的两个世纪以来发现的即席方法。一方面，它描述了一种用于获得文献中已知的几乎所有封闭形式解的算法方法。这是基于唐·李的对称性分析。其次，对于没有对称性的方程，提出了一种新方法，如果以前已经解决了单个代表问题，则该方法允许生成等价类内所有方程的解。它基于手边方程的绝对不变性的函数分解，最近，计算机代数算法可用于该函数分解。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号