A STUDY OF THE HERMITIAN NUMERICAL METHOD APPLIED TO THE SINGLE DEGREE OF FREEDOM, DAMPED OSCILLATOR.

Abstract

Approximation of the differential equation of the single degree of freedom, damped oscillator by the first order central finite difference equations and two Hermitian finite difference equations is investigated. An error analysis is made between the solution to the differential equation and the solutions to the finite difference approximations for various values of damping. The results of the error analysis indicate that the Hermitian approximations have less error than the first order difference approximation for the same size of increment. Furthermore, the employment of the Hermitian method does not materially increase the execution time on the digital computer over that required by the first order difference equations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1968
Accession Number
AD0832904

Entities

People

  • Garth Allan Van Sickle

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Computers
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Employment
  • Equations
  • Error Analysis
  • Errors
  • Mathematical Analysis
  • Mathematics
  • Oscillators

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)