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| Numerical methods based on characteristic block-centered finite difference method for one dimensional air pollution model |
| Received:September 08, 2009 Revised:December 29, 2009 |
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| DOI：10.7511/jslx201105008 |
| KeyWord:air pollution model characteristic block-centered difference method the error estimate |
| Author | Institution |
| 王玉平 |
南京师范大学 大规模复杂系统数值模拟江苏省重点实验室 数学科学学院,南京 |
| 张志跃 |
南京师范大学 大规模复杂系统数值模拟江苏省重点实验室 数学科学学院,南京 |
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| Abstract: |
| In this paper, we propose the characteristic block-centered finite difference method on nonuniform grids to solve the problem of one dimensional air pollution model. Approximate solutions and error estimates of air pollution concentrations and their first derivatives for space variable are obtained. The computational labour of the method is the same as it of the characteristic difference method based on linear interpolation. The error order of the approximate solutions is the same as it of the characteristic difference method based on quadratic interpolation. At last, a numerical example is given to illustrate feasibility efficiency of this method. |