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A New Conservative Difference Scheme for the General Rosenau-RLW Equation. Boundary Value Problems, Volume 2010, Article ID 516260.
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A New Conservative Difference Scheme for the General Rosenau-RLW Equation
×÷Õß:Zuo, JM (Zuo, Jin-Ming)[ 1 ] ; Zhang, YM (Zhang, Yao-Ming)[ 1 ] ; Zhang, TD (Zhang, Tian-De)[ 2 ] ; Chang, F (Chang, Feng)[ 2 ]
BOUNDARY VALUE PROBLEMS
ÎÄÏ׺Å: 516260
DOI: 10.1155/2010/516260
³ö°æÄê: 2010
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A new conservative finite difference scheme is presented for an initial-boundary value problem of the general Rosenau-RLW equation. Existence of its difference solutions are proved by Brouwer fixed point theorem. It is proved by the discrete energy method that the scheme is uniquely solvable, unconditionally stable, and second-order convergent. Numerical examples show the efficiency of the scheme.
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KeyWords Plus:NONLINEAR SCHRODINGER-EQUATION; KLEIN-GORDON EQUATION; SYSTEM
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ͨѶ×÷ÕßµØÖ·: Zuo, JM (ͨѶ×÷Õß)
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        Shandong Univ Technol, Sch Sci, Zibo 255049, Peoples R China.
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ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 1 ] Shandong Univ Technol, Sch Sci, Zibo 255049, Peoples R China
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 2 ] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
µç×ÓÓʼþµØÖ·:zuojinming@sdut.edu.cn
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National Natural Science Foundation of China        
10871117
10571110
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SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
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Ñо¿·½Ïò:Mathematics
Web of Science Àà±ð:Mathematics, Applied; Mathematics
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ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000285596900001
ISSN: 1687-2770
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Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
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3Â¥: Originally posted by ÎÞΪ֮ÈË at 2014-12-29 16:31:10
A New Conservative Difference Scheme for the General Rosenau-RLW Equation
×÷Õß:Zuo, JM (Zuo, Jin-Ming) ; Zhang, YM (Zhang, Yao-Ming) ; Zhang, TD (Zhang, Tian-De) ; Chang, F (Chang, Feng)
BOUNDARY V ...

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5Â¥2014-12-29 16:32:33
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