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ÂÛÎÄÌâÄ¿£ºUnconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation
ÆÚ¿¯£ºApplied Mathematics and Computation 219 (2013) pp. 7319-7328

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1.  ±êÌâ: Unconditional stability of alternating difference schemes with intrinsic parallelism for the fourth-order parabolic equation ×÷Õß: Guo, Geyang; Liu, Bo
À´Ô´³ö°æÎï: APPLIED MATHEMATICS AND COMPUTATION  ¾í: 219   ÆÚ: 14   Ò³: 7319-7328   DOI: 10.1016/j.amc.2012.12.010   ³ö°æÄê: MAR 15 2013
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Shanghai Jiaotong University National Library of China   (0)    ±£´æÎª:    ¸ü¶àÑ¡Ïî  
   
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 COMPUTATION  Volume: 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: guogeyang2000@sina.com  
Funding:
Funding Agency Grant Number
Youth Foundation of Tianjin University of Technology and Education  KJ11-18 2011  
Nature Science Foundation of Tianjin City of China  10JCYBJC07500
12JCYBJC10600  

[Show funding text][Hide funding text]   

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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