MATEC Web of Conferences
Volume 44, 20162016 International Conference on Electronic, Information and Computer Engineering
|Number of page(s)||6|
|Section||Computer, Algorithm, Control and Application Engineering|
|Published online||08 March 2016|
A granular computing method for nonlinear convection-diffusion equation
Chongqing Key Laboratory of Computational Intelligence, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2 Institute of Electronic Information & Technology, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 401122, China
a Corresponding author: email@example.com
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
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