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A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation

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Title A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation
 
Creator MANICKAM, SAV
PANI, AK
CHUNG, SK
 
Subject monomial basis functions
diagonal linear-systems
gaussian points
space
decay
rosenau equation
orthogonal spline collocation method
differential algebraic equations (daes)
implicit runge-kutta methods
decay estimates
bbm (benjamin-bona-maltoily) equation
bbmb (benjamin-bona-mahony-burgers) equation
 
Description A second-order splitting method is applied to a KdV-like Rosenau equation in one space variable. Then an orthogonal cubic spline collocation procedure is employed to approximate the resulting system. This semidiscrete method yields a system of differential algebraic equations (DAEs) of index 1. Error estimates in L-2 and L-infinity norms have been obtained for the semidiscrete approximations. For the temporal discretization, the time integrator RADAUS is used for the resulting system. Some numerical experiments have been conducted to validate the theoretical results and to confirm the qualitative behaviors of the Rosenau equation. Finally, orthogonal cubic spline collocation method is directly applied to BBM(Benjamin-Bona-Mahony) and BB MB(Benjamin-Bona-Mahony-Burgers) equations and the well-known decay estimates are demonstrated for the computed solution. (C) 1998 , Inc.
 
Publisher JOHN WILEY & SONS INC
 
Date 2011-08-04T10:02:22Z
2011-12-26T12:54:40Z
2011-12-27T05:42:49Z
2011-08-04T10:02:22Z
2011-12-26T12:54:40Z
2011-12-27T05:42:49Z
1998
 
Type Article
 
Identifier NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 14(6), 695-716
0749-159X
http://dx.doi.org/10.1002/(SICI)1098-2426(199811)14:6<695::AID-NUM1>3.3.CO;2-F
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9323
http://hdl.handle.net/10054/9323
 
Language en