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

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 fo...

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Published in:Journal of computational and applied mathematics 2005-02, Vol.174 (1), p.101-117
Main Authors: Danumjaya, P., Pani, Amiya K.
Format: Article
Language:English
Subjects:
A priori bounds
Exact sciences and technology
Extended Fisher–Kolmogorov (EFK) equation
Fourier analysis
Gaussian quadrature rule
Lyapunov functional
Mathematical analysis
Mathematics
Monomial basis functions
Numerical analysis
Numerical analysis. Scientific computation
Optimal order of convergence
Ordinary differential equations
Orthogonal cubic spline collocation method
RADAU 5
Sciences and techniques of general use
Second-order splitting
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cited_by cdi_FETCH-LOGICAL-c356t-6c5809a622592f5b466a3d95f80ca627bea4d2b01141e2052b708c5c2339c0443
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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.
doi_str_mv 10.1016/j.cam.2004.04.002
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ispartof Journal of computational and applied mathematics, 2005-02, Vol.174 (1), p.101-117
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1879-1778
language eng
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source ScienceDirect Journals
subjects A priori bounds
Exact sciences and technology
Extended Fisher–Kolmogorov (EFK) equation
Fourier analysis
Gaussian quadrature rule
Lyapunov functional
Mathematical analysis
Mathematics
Monomial basis functions
Numerical analysis
Numerical analysis. Scientific computation
Optimal order of convergence
Ordinary differential equations
Orthogonal cubic spline collocation method
RADAU 5
Sciences and techniques of general use
Second-order splitting
title Orthogonal cubic spline collocation method for the extended Fisher–Kolmogorov equation
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