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.
This report is part of the RAND Corporation report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.
This research in the public interest was supported by RAND, using discretionary funds made possible by the generosity of RAND's donors, the fees earned on client-funded research, and independent research and development (IR&D) funds provided by the Department of Defense.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.