WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
A Mathematical Theory and Algorithms for Calibrating and Balancing Complex Chemical Reaction Functions
Authors: , ,
Abstract: It is recognized that chemical reaction balancing problems are a mathematical problem in general. A set of mathematical models is created for formalizing the problems of chemical function calibrations. The complexity of the algorithm is O(n2) that indicates the nature of the problem where n is the number of types of atoms taking part in reactions. The problem is often manually insolvable because the complexity and interlocked relations among the coefficients of elements in reaction functions. Although empirical trial-and-error and heuristic methods were proposed, they would fail when n is considerably large, i.e., n > 6. Therefore, a general mathematical model and a rigorous methodology for solving chemical reaction balancing problems are yet to be formally studied. This paper presents a theory of chemical function calibration, which enables automatic balancing of complex reaction functions by numerical algorithms based on extended systems of linear equations.
Search Articles
Keywords: Mathematical theory, mathematical models, algorithm, chemical reaction functions, balancing, calibration, denotational mathematics, numerical methods, applications
Pages: 1-10
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #1