论文信息 - A Method for Solving Certain Stiff Differential Equations.

A Method for Solving Certain Stiff Differential Equations.

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.

[1] D Garfinkel,et al. A machine-independent language for the simulation of complex chemical and biochemical systems. , 1968, Computers and biomedical research, an international journal.

[2] Vimal Singh,et al. Perturbation methods , 1991 .

[3] L. Segel,et al. Introduction to Singular Perturbations. By R. E. O'MALLEY, JR. Academic Press, 1974. $ 16.50. , 1975, Journal of Fluid Mechanics.

[4] Leola Cutler,et al. Specifications For A New Jacobian Package For The Rand Chemical Equilibrium Program , 1968 .

[5] H. Weitzner,et al. Perturbation Methods in Applied Mathematics , 1969 .

[6] H. M. Tsuchiya,et al. On the mathematical status of the pseudo-steady state hypothesis of biochemical kinetics☆ , 1967 .

[7] N. Shapiro,et al. Stiff differential equations. , 1977, Annual review of biophysics and bioengineering.

[8] B. Hess,et al. METABOLIC CONTROL MECHANISMS. VII.A DETAILED COMPUTER MODEL OF THE GLYCOLYTIC PATHWAY IN ASCITES CELLS. , 1964, The Journal of biological chemistry.

[9] R. J. Clasen. THE NUMERICAL SOLUTION OF THE CHEMICAL EQUILIBRIUM PROBLEM , 1965 .