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论文题目:Unconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation
期刊:Applied Mathematics and Computation 219 (2013) pp. 7319-7328
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1.标题: Unconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation 作者: Guo, Geyang; Liu, Bo
来源出版物: APPLIED MATHEMATICS AND COMPUTATION卷: 219 期: 14 页: 7319-7328 DOI: 10.1016/j.amc.2012.12.010 出版年: MAR 15 2013
被引频次: 0 (来自 Web of Science)
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Unconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation
Author(s): Guo, GY (Guo, Geyang)[ 1 ] ; Liu, B (Liu, Bo)[ 2 ]
Source: APPLIED MATHEMATICS AND COMPUTATIONVolume: 219 Issue: 14 Pages: 7319-7328 DOI: 10.1016/j.amc.2012.12.010 Published: MAR 15 2013
Times Cited: 0 (from Web of Science)
Cited References: 22 [ view related records ] Citation Map
Abstract: In this paper, the difference method with intrinsic parallelism for the fourth-order parabolic equation is studied. The general alternating difference schemes are constructed and proved to be unconditionally stable. The alternating group explicit scheme, alternating segment explicit-implicit scheme and alternating segment Crank-Nicolson scheme are the special cases of the general schemes constructed here. Numerical results are presented to examine the convergence, stability and accuracy of the general schemes. (C) 2012 Elsevier Inc. All rights reserved.
Accession Number: WOS:000316668800004
Document Type: Article
Language: English
Author Keywords: The fourth-order parabolic equation; Alternating difference schemes; Intrinsic parallelism; Unconditional stability
KeyWords Plus: DISPERSIVE EQUATION; DIFFUSION EQUATION; NUMERICAL-SOLUTION; SYSTEMS
Reprint Address: Guo, GY (reprint author) Tianjin Univ Technol Educ, Dept Math, Tianjin 300222, Peoples R China.
Addresses: [ 1 ] Tianjin Univ Technol Educ, Dept Math, Tianjin 300222, Peoples R China
[ 2 ] Jilin Univ, Coll Math, Changchun 130012, Peoples R China
Organization-Enhanced Name(s)
Jilin University
E-mail Addresses:nbsp;
Funding:
Funding Agency Grant Number
Youth Foundation of Tianjin University of Technology and EducationKJ11-18 2011
Nature Science Foundation of Tianjin City of China10JCYBJC07500
12JCYBJC10600
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This work is supported by the Youth Foundation of Tianjin University of Technology and Education (Grant No. KJ11-18 2011) and the Nature Science Foundation of Tianjin City of China (Grant Nos. 10JCYBJC07500 and 12JCYBJC10600).
Publisher: ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
Web of Science Categories: Mathematics, Applied
Research Areas: Mathematics
IDS Number: 113LK
ISSN: 0096-3003
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