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Adaptive High-Order Finite Difference Analysis of 2D Quenching-Type Convection-Reaction-Diffusion Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-29
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Quenching characteristics based on the two-dimensional (2D) nonlinear unsteady convection-reaction-diffusion equation are creatively researched.
The study develops a 2D compact finite difference scheme constructed by using the first and the second central difference operator to approximate the first-order and the second-order spatial derivative, Taylor series expansion rule, and the reminder-correction method to approximate the three-order and the four-order spatial derivative, respectively, and the forward difference scheme to discretize temporal derivative, which brings the accuracy resulted meanwhile.
Influences of degenerate parameter, convection parameter, and the length of the rectangle definition domain on quenching behaviors and performances of special quenching cases are discussed and evaluated by using the proposed scheme on the adaptive grid.
It is feasible for the paper to offer potential support for further research on quenching problem.
American Psychological Association (APA)
Zhu, Xiaoliang& Ge, Yongbin. 2020. Adaptive High-Order Finite Difference Analysis of 2D Quenching-Type Convection-Reaction-Diffusion Equation. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1127369
Modern Language Association (MLA)
Zhu, Xiaoliang& Ge, Yongbin. Adaptive High-Order Finite Difference Analysis of 2D Quenching-Type Convection-Reaction-Diffusion Equation. Advances in Mathematical Physics No. 2020 (2020), pp.1-19.
https://search.emarefa.net/detail/BIM-1127369
American Medical Association (AMA)
Zhu, Xiaoliang& Ge, Yongbin. Adaptive High-Order Finite Difference Analysis of 2D Quenching-Type Convection-Reaction-Diffusion Equation. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1127369
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127369