Accession Number:

ADA043122

Title:

Comments on the Solution Coupled Stiff Differential Equations.

Descriptive Note:

Final rept.,

Corporate Author:

BALLISTIC RESEARCH LABS ABERDEEN PROVING GROUND MD

Personal Author(s):

• Kregel,M. D.
• Heimerl,J. M.

Report Date:

1977-07-01

Pagination or Media Count:

17.0

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

Descriptors:

• *COUPLING(INTERACTION)
• *NUMERICAL ANALYSIS
• *DIFFERENTIAL EQUATIONS
• COMPUTER PROGRAMS
• ALGORITHMS
• IONOSPHERE
• MATRICES(MATHEMATICS)
• SOLUTIONS(GENERAL)
• MATHEMATICAL PREDICTION
• ERROR ANALYSIS
• CHEMICAL REACTIONS
• TRUNCATION

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE