Solution of the Perturbed Harmonic Oscillator by Computer.

Abstract

A FORTRAN program has been developed for solving non-linear differential equations of the form dX/d+X+epsilonf(X;epsilon) = 0 using Lindstedt's method. This method provides a uniformly valid series solution by introducing a transformation in the time variable via a scale factor which is a power series in the small parameter epsilon. Secular terms which cause non-uniformity may be then constrained to disappear. The details of the method are carried out using an algebraic manipulation package. The use of the computer program is discussed and examples are supplied. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1977
Accession Number
ADA043438

Entities

People

  • Heidi M. Pickard
  • K. T. Alfriend

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Coefficients
  • Computer Programs
  • Computers
  • Core Storage
  • Differential Equations
  • Equations
  • Frequency
  • Mathematics
  • Military Research
  • Oscillators
  • Polynomials
  • Power Series
  • Space Systems
  • Terminals
  • Truncation

Readers

  • Calculus or Mathematical Analysis