APPLICATION OF DYNAMIC PROGRAMMING TO THE BRACHISTOCHRONE PROBLEM,

Abstract

The classical brachistochrone problem is formulated in dynamic programming terms and the resulting functional equation solved. The equation is first solved over a rectangular mesh and various methods of increasing the accuracy of the result and reducing the computer storage space required are considered. A good approximation to the true solution is obtained even though the numerical values chosen involve a singularity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0664525

Entities

People

  • Dorothy M. Pullen

Organizations

  • Royal Aircraft Establishment

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computer Programming
  • Computers
  • Dynamic Programming
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Operations Research

Technology Areas

  • Space