Application of the MuMATH computer algebra system to sets of first order kinetic equations of significance in chemistry

✍ Scribed by Carl Trindle

• Publisher: John Wiley and Sons
• Year: 1987
• Tongue: English
• Weight: 494 KB
• Volume: 8
• Category: Article
• ISSN: 0192-8651
• DOI: 10.1002/jcc.540080422

✦ Synopsis

Analytical solutions to systems of first order differential equations have long been available; however, they become so involved that they are seldom used. Numerical simulations are preferred in practice, although they produce bulky output that is difficult to interpret. Even worse, they are occasionally seriously in error owing to "stiffness" in the equations, intrinsic instability, or other pathological behavior. Computer algebra systems can handle the complicated manipulations that make the analytical solutions of first order kinetic systems inconvenient and can serve as a check on numerical simulations. We show applications of the small MuMATH(R) computer algebra package to a variety of first-order process, including relaxation kinetics and the analysis of stability of steady states in nonlinear kinetic systems.