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Solving a class of burning disturbed problem with shock layers |
| Ouyang Cheng(欧阳成)a)†, Chen Li-Hua(陈丽华)b), and Mo Jia-Qi(莫嘉琪)c) |
a. Faculty of Science, Huzhou Teacher College, Huzhou 313000, China;
b. Department of Mathematics and Computer Science, Fuqing Branch ofFujian Normal University, Fuqing 350300, China;
c. Department of Mathematics, Anhui Normal University, Wuhu 241003, China |
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Abstract A class of combustion problem with shock layers is considered. A modified perturbation method is presented. Using this simple and valid technique, we construct the boundary and the shock layers solution to the problem, and the asymptotic behavior of the solution is discussed. The modifying perturbation method is shown to be a valid method.
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Received: 16 October 2011
Revised: 27 April 2012
Accepted manuscript online:
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PACS:
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02.30.Hq
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(Ordinary differential equations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11071205), the Natural Science Foundation of the Education Bureau of Anhui Province, China (Grant No. KJ2011A135), the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6110502), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2011042), and the Foundation of the Education Department of Fujian Province, China (Grant No. JA10288). |
Cite this article:
Ouyang Cheng(欧阳成), Chen Li-Hua(陈丽华), and Mo Jia-Qi(莫嘉琪) Solving a class of burning disturbed problem with shock layers 2012 Chin. Phys. B 21 050203
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