文献类型：期刊文献

英文题名：Numerical solution of the unsteady diffusion-convection-reaction equation based on improved spectral Galerkin method

作者：Zhong, Jiaqi Zeng, Cheng Yuan, Yupeng Zhang, Yuzhe Zhang, Ye

第一作者：Zhong, Jiaqi

通信作者：Zhong, JQ[1]

机构：[1]Chongqing Univ Posts & Telecommun, Coll Automat, Chongqing 400065, Peoples R China;[2]Guizhou Inst Technol, Coll Sci, Guiyang 550003, Guizhou, Peoples R China;[3]China Elect Technol Grp Corp, Chongqing Acoust Opt Elect Co Ltd, Chongqing 401332, Peoples R China;[4]Chongqing Univ Posts & Telecommun, Sch Software Engn, Chongqing 400065, Peoples R China

第一机构：Chongqing Univ Posts & Telecommun, Coll Automat, Chongqing 400065, Peoples R China

通信机构：corresponding author), Chongqing Univ Posts & Telecommun, Coll Automat, Chongqing 400065, Peoples R China.

年份：2018

卷号：8

期号：4

外文期刊名：AIP ADVANCES

收录：;EI(收录号：20181705059442);Scopus(收录号：2-s2.0-85045854571);WOS:【SCI-EXPANDED(收录号:WOS:000435454600047)】；

基金：This work was supported in part by the National Natural Science Foundations of China (61771077, 61763004) and National Key R&D Program of China (2017YFB0406404).

语种：英文

外文关键词：Boundary conditions - Eigenvalues and eigenfunctions - Fourier series - Galerkin methods - Ordinary differential equations

摘要：The aim of this paper is to present an explicit numerical algorithm based on improved spectral Galerkin method for solving the unsteady diffusion-convection-reaction equation. The principal characteristics of this approach give the explicit eigenvalues and eigenvectors based on the time-space separation method and boundary condition analysis. With the help of Fourier series and Galerkin truncation, we can obtain the finite-dimensional ordinary differential equations which facilitate the system analysis and controller design. By comparing with the finite element method, the numerical solutions are demonstrated via two examples. It is shown that the proposed method is effective. (C) 2018 Author(s).