KMS Chongqing Institute of Green and Intelligent Technology, CAS
| A granular computing method for nonlinear convection-diffusion equation | |
| Tian, Ya Lan1,2; Wang, Guo Yin1,2; Xu, Jian Jun2; Xu, Ji2 | |
| 2016 | |
| 摘要 | This paper introduces a method of solving nonlinear convection-diffusion equation (NCDE), based on the combination of granular computing (GrC) and characteristics finite element method (CFEM). The key idea of the proposed method (denoted as GrC-CFEM) is to reconstruct the solution from coarse-grained layer to fine-grained layer. It first gets the nonlinear solution on the coarse-grained layer, and then the function (Taylor expansion) is applied to linearize the NCDE on the fine-grained layer. Switch to the fine-grained layer, the linear solution is directly derived from the nonlinear solution. The full nonlinear problem is solved only on the coarse-grained layer. Numerical experiments show that the GrC-CFEM can accelerate the convergence and improve the computational efficiency without sacrificing the accuracy. © Owned by the authors, published by EDP Sciences, 2016. |
| 语种 | 英语 |
| DOI | 10.1051/matecconf/20164401055 |
| 会议(录)名称 | 2016 International Conference on Electronic, Information and Computer Engineering, ICEICE 2016
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| 收录类别 | EI |
| 会议地点 | Hong Kong, Hong kong |
| 会议日期 | April 26, 2016 - April 27, 2016 |
