• 论文 •

### 一类边界耦合的扩散系统爆破现象的数值模拟

1. 信息工程大学信息工程学院,信息工程大学信息工程学院,郑州大学 郑州 450002,郑州 450002,郑州 450052
• 出版日期:2006-01-14 发布日期:2006-01-14

### NUMERICAL SIMULATION OF BLOW-UP FOR SOME DIFFUSION SYSTEMS WITH COUPLING AT THE BOUNDARY

1. Jiang Chengshun Yao Li (Institute of Information Engineering, University of Information Engineering, Zhengzhou 450002, China) Li Qianshan (Zhengzhou University, Zhengzhou 450052, China)
• Online:2006-01-14 Published:2006-01-14

For some diffusion systems with nontrivial coupling at the boundary, numerical simulations are performed. The problems about when and where the blow-up probably occurs and the blow-up rate are discussed. Based upon different initial data, the experiments are divided into four groups and carried on with twelve kinds of boundary parameters. For the two kinds of boundary parameters which probably lead blow-up, experiments are classified by monitor functions and performed using moving mesh methods. Then the validity of algorithms is expounded and the results of experiments are analyzed. Finally an experiment is presented for a special case.
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