NUMERICAL INTEGRATION OF FIRST-ORDER STIFF DIFFERENTIAL EQUATIONS

Abstract

A method is presented for numerically integrating a system of stiff, first-order differential equations. This method is based on transforming the set of dependent variables so that the resulting system will not be stiff; the transformed system is then integrated by the Runge-Kutta method. The resulting procedure is often appreciably faster than classical methods in that a much larger step size is allowable with nominal increase in step computation time. Applications and results are discussed for systems of various order, including a system of six chemical rate equations.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0628091

Entities

People

  • F. C. Loper
  • W. J. Phares

Organizations

  • Arnold Engineering Development Complex

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Chemical Reactions
  • Classification
  • Contractors
  • Contracts
  • Differential Equations
  • Engineering
  • Equations
  • Government Procurement
  • Governments
  • New York
  • Nomenclature
  • Numerical Analysis
  • Numerical Integration
  • Runge Kutta Method
  • United States

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis