Numerical Solution of Burgers’ Equation Based on Mixed Finite Volume Element Methods
Joint Authors
Zhao, Jie
Fang, Zhichao
Bai, Xue
Li, Hong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this article, mixed finite volume element (MFVE) methods are proposed for solving the numerical solution of Burgers’ equation.
By introducing a transfer operator, semidiscrete and fully discrete MFVE schemes are constructed.
The existence, uniqueness, and stability analyses for semidiscrete and fully discrete MFVE schemes are given in detail.
The optimal a priori error estimates for the unknown and auxiliary variables in the L2Ω norm are derived by using the stability results.
Finally, numerical results are given to verify the feasibility and effectiveness.
American Psychological Association (APA)
Zhao, Jie& Li, Hong& Fang, Zhichao& Bai, Xue. 2020. Numerical Solution of Burgers’ Equation Based on Mixed Finite Volume Element Methods. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1153269
Modern Language Association (MLA)
Zhao, Jie…[et al.]. Numerical Solution of Burgers’ Equation Based on Mixed Finite Volume Element Methods. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1153269
American Medical Association (AMA)
Zhao, Jie& Li, Hong& Fang, Zhichao& Bai, Xue. Numerical Solution of Burgers’ Equation Based on Mixed Finite Volume Element Methods. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1153269
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1153269
