一个可扩展的微分方程求解器

SIGSAM Bull. Pub Date : 2001-03-01 DOI:10.1145/504331.504332

B. L. Willis

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引用次数: 6

摘要

我们描述了一种用超几何和其他(不太为人所知的)特殊函数来求解线性二阶微分方程的方法。作为计算机代数系统的一种方法，本文中描述的求解器使用一个函数数据库来构造解的anstatz。用户可以通过向数据库添加函数来扩展求解器。概述了Macsyma语言的实现，并给出了示例计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An extensible differential equation solver

We describe a method for solving linear second order differential equations in terms of hypergeometric and other (less well known) special functions. Intended as a method for computer algebra systems, the solver described in this article uses a database of functions to construct an anstatz for the solution. A user may extend the solver by appending functions to the database. An overview of a Macsyma language implementation, with sample calculations, is given.

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SIGSAM Bull.

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