Application of Stochastic Differential System in Chemical Reactions via Simulation

作者：Kafash B^*; Lalehzari R; Delavarkhalafi A; Mahmoudi E

来源：MATCH-Communications in Mathematical and in Computer Chemistry, 2014, 71(2): 265-277.

Stochastic process models play a prominent role in a range of application areas, including biology, chemistry, epidemiology, mechanics, microelectronics, economics, and finance. In mathematical modeling, if we use stochastic systems then we will assume that the system follows a probabilistic rule and the future behavior of the system will not be known for sure. Idea of modeling chemical reactions in terms of ordinary and stochastic differential equations can be exposed to a range of modern ideas in applied and computational mathematics. In this paper, we will introduce some fundamental concepts of stochastic processes and simulate them with R saftware. Also, we peresent a numerical solution of chemical Langevin equation as a stochastic differential system with applications in Chemistry and Physics.

• 出版日期2014