Numerical solution of the unsteady diffusion-convection-reaction equation based on improved spectral Galerkin method
Source abstract
Abstract
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.
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Research context
OpenAlex topics: Model Reduction and Neural Networks · Differential Equations and Numerical Methods · Fractional Differential Equations Solutions
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Affiliations
College of Automation, Chongqing University of Posts and Telecommunications 1 , Chongqing 400065, China
College of Science, Guizhou Institute of Technology 2 , Guiyang 550003, China
Chongqing Acoustic-Optic-Electronic Co., Ltd, China Electronics Technology Group Corporation 3 , Chongqing 401332, China
School of Software Engineering, Chongqing University of Posts and Telecommunications 4 , Chongqing 400065, China
Funding
National Key R&D Program of China · National Natural Science Foundation of China
References (15)
Show source-provided references
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