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Orthogonal cubic spline collocation method for the extended Fisher-Kolmogorov equation

DSpace at IIT Bombay

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Title Orthogonal cubic spline collocation method for the extended Fisher-Kolmogorov equation
 
Creator DANUMJAYA, P
PANI, AK
 
Subject monomial basis functions
diagonal linear-systems
marginal stability
front propagation
velocity selection
gaussian points
unstable states
extended fisher-kolmogorov (efk) equation
second-order splitting
orthogonal cubic spline collocation method
lyapunov functional
a priori bounds
optimal order of convergence
monomial basis functions
radau 5
gaussian quadrature rule
 
Description A second-order splitting combined with orthogonal cubic spline collocation method is formulated and analysed for the extended Fisher-Kolmogorov equation. With the help of Lyapunov functional, a bound in maximum norm is derived for the semidiscrete solution. Optimal error estimates are established for the semidiscrete case. Finally, using the monomial basis functions we present the numerical results in which the integration in time is performed using RADAU 5 software library. (C) 2004
 
Publisher ELSEVIER SCIENCE BV
 
Date 2011-07-26T01:21:13Z
2011-12-26T12:52:24Z
2011-12-27T05:37:00Z
2011-07-26T01:21:13Z
2011-12-26T12:52:24Z
2011-12-27T05:37:00Z
2005
 
Type Article
 
Identifier JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 174(1), 101-117
0377-0427
http://dx.doi.org/10.1016/j.cam.2004.04.002
http://dspace.library.iitb.ac.in/xmlui/handle/10054/6845
http://hdl.handle.net/10054/6845
 
Language en