Parameter Estimation in Convection-Diffusion Model

Author:

Zheng Xiaoyang1,Chen Shu2,He Jiangping2,Qiu Liqiong2,Yan Ye1,Zhang Zhaohui2

Affiliation:

1. College of Artificial Intelligence, Chongqing University of Technology, Chongqing, CHINA

2. College of Science, Chongqing University of Technology, Chongqing, CHINA

Abstract

This paper describes a special one-dimensional convection-diffusion equation and analyzes two types of difference schemes. Numerical solutions of the two difference methods for this equation are implemented to estimate the parameters of the velocity component of the fluid and the diffusion coefficient. Good results of parameters estimated are not achieved because of the larger approximation errors by the difference schemes. Then multiple linear regression is applied to estimating the corresponding parameters by using the analytical solution of this special equation. By this means, the better estimated values of the parameters are obtained.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference16 articles.

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