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A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation
Joint Authors
Wu, Lifei
Yang, Xiaozhong
Pan, Yueyue
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-14
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper proposes a new class of difference methods with intrinsic parallelism for solving the Burgers–Fisher equation.
A new class of parallel difference schemes of pure alternating segment explicit-implicit (PASE-I) and pure alternating segment implicit-explicit (PASI-E) are constructed by taking simple classical explicit and implicit schemes, combined with the alternating segment technique.
The existence, uniqueness, linear absolute stability, and convergence for the solutions of PASE-I and PASI-E schemes are well illustrated.
Both theoretical analysis and numerical experiments show that PASE-I and PASI-E schemes are linearly absolute stable, with 2-order time accuracy and 2-order spatial accuracy.
Compared with the implicit scheme and the Crank–Nicolson (C-N) scheme, the computational efficiency of the PASE-I (PASI-E) scheme is greatly improved.
The PASE-I and PASI-E schemes have obvious parallel computing properties, which show that the difference methods with intrinsic parallelism in this paper are feasible to solve the Burgers–Fisher equation.
American Psychological Association (APA)
Pan, Yueyue& Wu, Lifei& Yang, Xiaozhong. 2020. A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1202030
Modern Language Association (MLA)
Pan, Yueyue…[et al.]. A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-17.
https://search.emarefa.net/detail/BIM-1202030
American Medical Association (AMA)
Pan, Yueyue& Wu, Lifei& Yang, Xiaozhong. A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-17.
https://search.emarefa.net/detail/BIM-1202030
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1202030