FINLIE: A FORTRAN Program for Fitting Ordinary Differential Equations with Nonlinear Parameters to Data

Abstract

This paper presents and documents a FORTRAN program FINLIE for fitting a system of ordinary differential equations (or a system of algebraic or transcendental equations) to observed data. FINLIE determines those values of the possibly nonlinear system parameters and initial conditions that yield a best fit - in the least squares sense - of the solution curves to measurements of one or more of the dependent variables. The basic fitting technique is Chapman-Kirk, with the Marquardt algorithm aiding convergence. The data from more than one experiment can be handled simultaneously to obtain one common set of parameters and set of initial conditions for each experiment. For each computer run, the value of any parameter or initial condition can be held fixed or adjusted by FINLIE.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1981
Accession Number
ADA098038

Entities

People

  • James W. Bradley

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • C4I
  • Cyber
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Bibliographies
  • Classification
  • Coefficients
  • Computational Science
  • Computer Programming
  • Computers
  • Convergence
  • Differential Equations
  • Equations
  • Interpolation
  • Jet Propulsion
  • Military Research
  • Numerical Integration
  • Security
  • Standards
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation
  • Control Systems Engineering.