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Fußnote:: Gesehen am 06.09.21; Fortsetzung der Druck-Ausgabe; Open Access; Namensnennung 4.0 International

Zusammenfassung:: 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.

Schlagworte:: linear rational interpolation ; convection-diffusion equation ; Barycentric form ; error estimate ; matrix equation ; 65D05 ; 65L60 ; 31A30