Robust solution of proper,matched sigma-pi multinomial equation systems |
| |
| Affiliation: | 1. School of Arts and Sciences, Ahmedabad University, India;2. School of Aerospace and Mechanical Engineering, University of Oklahoma, USA;1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;2. School of Mathematics Sciences, Qufu Normal University, Qufu 273165, China;3. Faculty of Electrical Engineering and Computer Science, University of Maribor, Maribor SI-2000, Slovenia;4. Institute of Mathematics, Physics and Mechanics, Ljubljana SI-1000, Slovenia;5. Center for Applied Mathematics and Theoretical Physics, Maribor SI-2000, Slovenia;6. Faculty of Natural Science and Mathematics, University of Maribor, Maribor SI-2000, Slovenia |
| |
| Abstract: | An algorithm is described for the numerical solution of proper matched multinomial sigma-pi equation systems. These are most commonly associated with ideal dilute solution chemical equilibrium equations. In this context, the algorithm will obtain near full floating point precision for all equilibrium concentrations which lie within nearly the full floating point dynamic range of the implementation. No starting approximation is required from the user. The method converged in seven or fewer iterations for systems containing up to 14 reactions and 18 reactants.As a second application, this equation system is applied to a special class of steady-state chemical reaction networks through the introduction of flux-shifters as chemical network elements. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
