Comments on the Solution Coupled Stiff Differential Equations.

Abstract

The K-method of integrating sets of ordinary differential equations is outlined. This algorithm employs a variable step size, third order predictor-corrector method. It is written to reduce truncation error and to maximize stability consistent with reasonable execution time. The K-method has been used to integrate equations with discontinuous driving functions and this algorithm conserves chemical balance within the machine round-off error. It has been applied to solve kinetics problems in aeronomy and examples are taken from that field. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA043122

Entities

People

  • J. M. Heimerl
  • M. D. Kregel

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronomy
  • Algorithms
  • Charged Particles
  • Computations
  • Corporations
  • Differential Equations
  • Dynamic Range
  • Electron Density
  • Electrons
  • Engineering
  • Equations
  • Histograms
  • Machines
  • Military Research
  • Numerical Integration
  • Truncation

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)