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

• Autores: Coronel, Anibal, Hess, Ian
• Formato: artículo
• Fecha de Publicación: 2016
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revista UNITRU - Selecciones Matemáticas
• Lenguaje: español
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/1253
• Enlace del recurso: http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1253
• Nivel de acceso: acceso abierto
• Materia: Poincare-Perron problem; asymptotic behavior; Riccati type equations; Problema de Poincare-Perron; comportamiento asintótico; ecuación tipo Riccati

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 aected by wind convection, difusion and chemical reactions of pollutants. Consequently, a convection-diusion-reaction equation is obtained as a direct problem. In the inverse problem, the determination of the diusion 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.