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High-Order Finite Volume Methods for Aerosol Dynamic Equations

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems Partial differential equations, boundary value problems

Published online by Cambridge University Press:  27 January 2016

Ming Cui ,
Yanxin Su  and
Dong Liang
Ming Cui*
Affiliation:
College of Applied Sciences, Beijing University of Technology, Beijing 100124, China School of Mathematics, Shandong University, Jinan 250100, China
Yanxin Su
Affiliation:
School of Mathematics, Shandong University, Jinan 250100, China
Dong Liang
Affiliation:
School of Mathematics, Shandong University, Jinan 250100, China Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario, M3J 1P3, Canada
*
*Corresponding author. Email:mingcui@bjut.edu.cn (M. Cui), suyanxin163@163.com (Y. X. Su), dliang@mathstat.yorku.ca (D. Liang)
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Abstract

Aerosol modeling is very important to study the behavior of aerosol dynamics in atmospheric environment. In this paper we consider numerical methods for the nonlinear aerosol dynamic equations on time and particle size. The finite volume element methods based on the linear interpolation and Hermite interpolation are provided to approximate the aerosol dynamic equation where the condensation and removal processes are considered. Numerical examples are provided to show the efficiency of these numerical methods.

Keywords

Aerosol dynamic equationfinite volume methodcondensationremoval

MSC classification

Secondary: 65M15: Error bounds 65N15: Error bounds
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 2 , April 2016 , pp. 213 - 235
Copyright
Copyright © Global-Science Press 2016 

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