NUMERICAL ANALYSIS OF AN INVERSE PROBLEM ORIGINATED IN PHENOMENON OF POLLUTION AIR URBAN

• Main Authors: Aníbal Coronel, Ian Hess
• Format: Article
• Language: Spanish
• Published: Universidad Nacional de Trujillo 2016-12-01
• Series: Selecciones Matemáticas
• Subjects: Poincaré-Perron problem; asymptotic behavior; Riccati type equations
• Online Access: http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1253/1163

This paper presents the calibration study of a two - dimensional mathematical model for the problem of urban air pollution. It is mainly assumed that air pollution is afected by wind convection, diffusion and chemical reactions of pollutants. Consequently, a convection-diffusion-reaction equation is obtained as a direct problem. In the inverse problem, the determination of the diffusion is analyzed, assuming that one has an observation of the pollutants in a nite time. To solve it numerically the nite volume method is used, the least squares function is considered as cost function and the gradient is calculated with the sensitivity method.