The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations
Joint Authors
Feng, Hui
Xue, Guanyu
Gong, Yunjie
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, a splitting Crank–Nicolson (SC-N) scheme with intrinsic parallelism is proposed for parabolic equations.
The new algorithm splits the Crank–Nicolson scheme into two domain decomposition methods, each one is applied to compute the values at (n + 1)th time level by use of known numerical solutions at n-th time level, respectively.
Then, the average of the above two values is chosen to be the numerical solutions at (n + 1)th time level.
The new algorithm obtains accuracy of the Crank–Nicolson scheme while maintaining parallelism and unconditional stability.
This algorithm can be extended to solve two-dimensional parabolic equations by alternating direction implicit (ADI) technique.
Numerical experiments illustrate the accuracy and efficiency of the new algorithm.
American Psychological Association (APA)
Xue, Guanyu& Gong, Yunjie& Feng, Hui. 2020. The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1185909
Modern Language Association (MLA)
Xue, Guanyu…[et al.]. The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations. Journal of Function Spaces No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1185909
American Medical Association (AMA)
Xue, Guanyu& Gong, Yunjie& Feng, Hui. The Splitting Crank–Nicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1185909
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185909