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

作者：Zhang Zhiyue^*; Wang Yuping; Wang Quanxiang

来源：International Journal of Computer Mathematics, 2011, 88(10): 2178-2198.

DOI：10.1080/00207160.2010.534139

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

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.

• 出版日期2011
• 单位南京师范大学