عملكرد روش هاي ضمني QSSA و EBI در مدلهاي آلودگي هوا و مقايسه آنها با روش هاي كلاسيك

ANALYSIS of ,AIR pollution transition models and methods of solving

Consider the evolution of chemical species in troposphere that is mathematically described by a system of partial differential equations. On the basis of the slow / fast behavior of chemical kinetics the partial differential equations are replaced by a differential -algebraic system. In this article an easy to perform algorithm is proposed which integrates such system with a low CPU time. Comparison is made with some classical solvers such as Euler Backward Implicit (EBI), quasi-steady-state-approximation (QSSA) and the second -order Rosenbrock method (Ros2). This confirms the efficiency and the accuracy of the proposed algorithm.