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

被引：1

作者：

Lu, Zuliang ^{[1
,2
]}

Zhang, Shuhua ^{[2
]}

Li, Lin ^{[3
]}

Cao, Longzhou ^{[3
]}

Yang, Yin ^{[4
]}

机构：

[1] Chongqing Three Gorges Univ, Key Lab Intelligent Informat Proc & Control, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404000, Peoples R China

[2] Tianjin Univ Finance & Econ, Res Ctr Math & Econ, Tianjin 300222, Peoples R China

[3] Chongqing Three Gorges Univ, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404000, Peoples R China

[4] Xiangtan Univ, Minist Educ, Key Lab Intelligent Comp & Informat Proc, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2018年 / 10卷 / 03期

基金：

中国博士后科学基金; 美国国家科学基金会; 中国国家自然科学基金;

关键词：

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; INDUSTRIAL-POLLUTION; EQUATIONS; PRICES;

D O I：

10.4208/aamm.OA-2017-0082

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：690 / 709

页数：20

共 4 条

[1] An Empirical Study for Transboundary Pollution of Three Gorges Reservoir Area with Emission Permits Trading
Lu, Zuliang
Feng, Yuming
Zhang, Shuhua
Li, Lin
Cao, Longzhou
[J]. NEURAL PROCESSING LETTERS, 2018, 48 (02) : 1089 - 1104
[2] An Empirical Study for Transboundary Pollution of Three Gorges Reservoir Area with Emission Permits Trading
Zuliang Lu
Yuming Feng
Shuhua Zhang
Lin Li
Longzhou Cao
[J]. Neural Processing Letters, 2018, 48 : 1089 - 1104
[3] Modeling and Computation of Transboundary Industrial Pollution with Emission Permits Trading by Stochastic Differential Game
Chang, Shuhua
Wang, Xinyu
Wang, Zheng
[J]. PLOS ONE, 2015, 10 (09):
[4] Numerical Modelling of Cooperative and Noncooperative Three Transboundary Pollution Problems under Learning by Doing in Three Gorges Reservoir Area
Lu, Zuliang
Li, Lin
Cao, Longzhou
Yang, Yin
[J]. MATHEMATICAL MODELLING AND ANALYSIS, 2020, 25 (01) : 130 - 145

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