Monte Carlo Method for Solving Becker-Doring Equations with Constant Monomers

Authors

1 Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

2 Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

Stochastic differential equations (SDE) play a relevant role in many application areas such as collision, population and polymer dynamics, genetic regulation, investment  finance and biology. The procedure of
collision among particles was modeled by an infinite dimensional differential system (in the discrete case) and a nonlinear partial integro-differential equation (in the continuous case). The  discrete case may be approximated with a parabolic partial differential equation. In this paper, using the Monte-Carlo method, we obtain an approximation for solving the parabolic differential equation in the continuous form. 

Keywords


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