Spectral collocation method for convection-diffusion equation
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.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Spectral collocation method for convection-diffusion equation ; volume:57 ; number:1 ; year:2024 ; extent:13
Demonstratio mathematica ; 57, Heft 1 (2024) (gesamt 13)
- Creator
-
Li, Jin
Cheng, Yongling
- DOI
-
10.1515/dema-2023-0110
- URN
-
urn:nbn:de:101:1-2024021515251815093273
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
15.08.2025, 7:26 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Li, Jin
- Cheng, Yongling
Other Objects (12)
Linear barycentric rational collocation method for solving biharmonic equation
Molecular analysis of late gene expression in BFDV (budgerigar fledgling disease virus)
A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance
Zinc and lead recovery from jarosite residues produced in zinc hydrometallurgy by vacuum reduction and distillation
Stochastic modified Boussinesq approximate equation driven by fractional Brownian motion
Legendre spectral collocation method for distributed and Riesz fractional convection–diffusion and Schrödinger-type equation
Chuang shi ji de yi tian zao jiu kai shi : = Der jüngste Tag hat längst begonnen
Genome-wide transcriptome analysis identifies alternative splicing regulatory network and key splicing factors in mouse and human psoriasis
RETRACTED ARTICLE: Landesman-Lazer type condition for second-order differential equations at resonance with impulsive effects
Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations
Using entropy bounds to avoid the cosmological singularity and constrain cosmological particle production
Power dynamics in organizations
Linear barycentric rational collocation method for solving biharmonic equation
Molecular analysis of late gene expression in BFDV (budgerigar fledgling disease virus)
A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance
Zinc and lead recovery from jarosite residues produced in zinc hydrometallurgy by vacuum reduction and distillation
Stochastic modified Boussinesq approximate equation driven by fractional Brownian motion
Legendre spectral collocation method for distributed and Riesz fractional convection–diffusion and Schrödinger-type equation
Chuang shi ji de yi tian zao jiu kai shi : = Der jüngste Tag hat längst begonnen
Genome-wide transcriptome analysis identifies alternative splicing regulatory network and key splicing factors in mouse and human psoriasis
RETRACTED ARTICLE: Landesman-Lazer type condition for second-order differential equations at resonance with impulsive effects
Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations
Using entropy bounds to avoid the cosmological singularity and constrain cosmological particle production
Power dynamics in organizations
Linear barycentric rational collocation method for solving biharmonic equation
Molecular analysis of late gene expression in BFDV (budgerigar fledgling disease virus)
A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance
Zinc and lead recovery from jarosite residues produced in zinc hydrometallurgy by vacuum reduction and distillation
Stochastic modified Boussinesq approximate equation driven by fractional Brownian motion
Legendre spectral collocation method for distributed and Riesz fractional convection–diffusion and Schrödinger-type equation
Chuang shi ji de yi tian zao jiu kai shi : = Der jüngste Tag hat längst begonnen
Genome-wide transcriptome analysis identifies alternative splicing regulatory network and key splicing factors in mouse and human psoriasis
RETRACTED ARTICLE: Landesman-Lazer type condition for second-order differential equations at resonance with impulsive effects
Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh equations
Using entropy bounds to avoid the cosmological singularity and constrain cosmological particle production