A characteristic centred finite difference method for a 2D air pollution model

Abstract

In this paper, we propose a characteristic centred finite difference method on non-uniform grids to solve the problem of the air pollution model. Numerical solutions and error estimates of the air pollution concentration and its first-order derivatives for space variables are obtained. The computational cost of the method is the same as that of the characteristic difference method based on a linear interpolation. The error order of the numerical solutions is the same as that of the characteristic difference method based on a quadratic interpolation. At last, we give numerical examples to illustrate feasibility and efficiency of this method.

Keywords:

• air pollution model
• characteristic centred finite difference method
• error estimate

2000 AMS Subject Classifications :

• 65N30
• 65N16
• 76N99

Acknowledgements

We would like to thank the anonymous referees for their valuable suggestions to improve the paper. This project is supported by the National Natural Science Foundation of China (No.11071123), NSF of Jiangsu Provincial of China (No.BK2008426) and Nanjing Normal University after Overseas Studies (No. 2008101XLH0046).