Entropy Schemes for One-Dimensional Convection-Diffusion Equations
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-31
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation.
The operator splitting method is used to solve the convection-diffusion equation that is divided into conservation and diffusion parts, in which the first-order accurate entropy scheme is applied to solve the conservation part and the second accurate central difference scheme is applied to solve the diffusion part.
Numerical tests show that the L∞ error achieves about second-order accuracy, but the L1 error reaches about forth-order accuracy.
American Psychological Association (APA)
Chen, Rongsan. 2020. Entropy Schemes for One-Dimensional Convection-Diffusion Equations. Complexity،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1141235
Modern Language Association (MLA)
Chen, Rongsan. Entropy Schemes for One-Dimensional Convection-Diffusion Equations. Complexity No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1141235
American Medical Association (AMA)
Chen, Rongsan. Entropy Schemes for One-Dimensional Convection-Diffusion Equations. Complexity. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1141235
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141235