%0 Journal Article
%T Monte Carlo Method for Solving Becker-Doring Equations with Constant Monomers
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A Soheili, Alireza
%A Hassani, Hussian
%D 2011
%\ 05/22/2011
%V 1
%N 1
%P 1-11
%! Monte Carlo Method for Solving Becker-Doring Equations with Constant Monomers
%K Parabolic Equation
%K Monte Carlo Method
%K Stochastic Diﬀerential Equation
%K Becker-Doring Equation
%R
%X 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.
%U https://jamm.scu.ac.ir/article_10012_132aec29d7979aa65a6454470dc098bf.pdf