Fitted Finite Volume Method of Three Transboundary Pollution in Three Gorges Reservoir Area of Chongqing City with Emission Permits Trading by Cooperative Stochastic Differential Game
Year: 2018
Author: Zuliang Lu, Shuhua Zhang, Lin Li, Longzhou Cao, Yin Yang
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 3 : pp. 690–709
Abstract
In this paper, we present a stochastic differential game to model the three transboundary industrial pollution problems in Three Gorges Reservoir Area of Chongqing City with emission permits trading. The process of emission permits price is assumed to be stochastic and to follow a geometric Brownian motion. We make use of stochastic optimal control theory to derive the system of Hamilton-Jacobi-Bellman equations satisfied by the value functions for the cooperative games, and then propose a fitted finite volume method to solve it. The efficiency and the usefulness of this method are illustrated by an empirical study for Wanzhou District, Kaizhou District, and Yunyang County in Chongqing City.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2017-0082
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 3 : pp. 690–709
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Three transboundary pollution in Three Gorges Reservoir Area of Chongqing City stochastic differential game emission permits trading Hamilton-Jacobi-Bellman equation fitted finite volume method.
Author Details
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