A Method for Solving Certain Stiff Differential Equations.

R. J. Clasen, D. Garfinkel, Norman Shapiro, G. C. Roman

ResearchPublished 1978

Certain differential equations that arise when solving chemical kinetics problems which have widely differing time constants are analyzed by a method that implicitly separates the fast reacting components from the remaining components of the system. A method for determining equilibrium of the fast reacting components is provided, and these values provide the initial conditions for an associated system of differential equations that yields a first and second order solution of the original system. Computational experiments have shown that a suitably chosen method for solving the modified system may be superior to a direct solution with a stiff differential equation solver. 20 pp. Ref.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1978
  • Print Format: Paperback
  • Paperback Pages: 20
  • Paperback Price: $20.00
  • Document Number: R-2357-RC

Citation

RAND Style Manual
Clasen, R. J., D. Garfinkel, Norman Shapiro, and G. C. Roman, A Method for Solving Certain Stiff Differential Equations. RAND Corporation, R-2357-RC, 1978. As of September 23, 2024: https://www.rand.org/pubs/reports/R2357.html
Chicago Manual of Style
Clasen, R. J., D. Garfinkel, Norman Shapiro, and G. C. Roman, A Method for Solving Certain Stiff Differential Equations. Santa Monica, CA: RAND Corporation, 1978. https://www.rand.org/pubs/reports/R2357.html. Also available in print form.
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