Accession Number:

AD0628091

Title:

NUMERICAL INTEGRATION OF FIRST-ORDER STIFF DIFFERENTIAL EQUATIONS

Descriptive Note:

Technical rept.

Corporate Author:

ARNOLD ENGINEERING DEVELOPMENT CENTER ARNOLD AFB TN

Personal Author(s):

Report Date:

1966-02-01

Pagination or Media Count:

19.0

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.

Subject Categories:

  • Physical Chemistry
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE