APPROXIMATE SOLUTION OF INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS BY BOUNDARY VALUE TECHNIQUES.

Abstract

Initial value problems are studied numerically by means of two distinctly different types of boundary value techniques. The problems treated are those for which either asymptotic estimates or results about the periodicity of solutions are available. Nontrivial examples which contain singularities and/or nonlinearities are discussed. Also, an example is provided for which initial value techniques diverge while boundary value techniques yield accurate approximations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0657587

Entities

People

  • Donald Greenspan

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Periodic Variations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis