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
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Creator |
DANUMJAYA, P
PANI, AK |
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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 |
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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
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Publisher |
ELSEVIER SCIENCE BV
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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 |
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Type |
Article
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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 |
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Language |
en
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