Spectral collocation method for convection-diffusion equation-Reference-Cited by-同舟云学术

Spectral collocation method for convection-diffusion equation

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Li Jin¹,Cheng Yongling¹

Affiliation:

1. School of Science, Shandong Jianzhu University , Jinan , 250100 , P. R. China

Abstract

Abstract Spectral collocation method, named linear barycentric rational interpolation collocation method (LBRICM), for convection-diffusion (C-D) equation with constant coefficient is considered. We change the discrete linear equations into the matrix equation. Different from the classical methods to solve the C-D equation, we solve the C-D equation with the time variable and space variable obtained at the same time. Furthermore, the convergence rate of the C-D equation by LBRICM is proved. Numerical examples are presented to test our analysis.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2023-0110/pdf

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