Research in Algebraic Manipulation.

Abstract

Professor Shunro Watanabe of Japan has been visiting our group since March, 1982. In the past year he has been able, with the support of our group, to develop a major new program for solving in closed from a wide variety of ordinary differential equations. The MACSYMA system uses two large packages for solving ODES. Professor Watanabe's approach is to convert most second order ODEs into instances of the so-called P-function. These functions, originally due to Riemann, have been extensively studied by the Japanese mathematician Fukuhara (also spelled Hukuhara). For the past year, Watanabe has implemented a package that transforms a large class of equations into P-functions. He has used Kamke's table as a test bed. Several examples from Kamke using this package, are given in Appendix I.

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Document Details

Document Type
Technical Report
Publication Date
Dec 14, 1983
Accession Number
ADA137776

Entities

People

  • Jeffrey Moses

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Availability
  • Classification
  • Computer Science
  • Differential Equations
  • Equations
  • Hypergeometric Functions
  • Scientific Research
  • Security
  • Standards
  • Test Beds
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science.
  • Technical Research and Report Writing.