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Gegenbauer wavelet collocation method for the extended Fisher-Kolmogorov

Authors: Celik, I;

Gegenbauer wavelet collocation method for the extended Fisher-Kolmogorov

Abstract

Gegenbauer wavelets operational matrices play an important role in the numeric solution of differential equations. In this study, operational matrices of rth integration of Gegenbauer wavelets are derived and used to obtain an approximate solution of the nonlinear extended Fisher-Kolmogorov (EFK) equation in two-space dimension. Nonlinear EFK equation is converted into the linear partial differential equation by quasilinearization technique. Numerical examples have shown that present method is convergent even in the case of a small number of grid points. The results of the presented method are in a good agreement with the results in literature. C1 [Celik, Ibrahim] Pamukkale Univ, Fac Arts & Sci, Dept Math, TR-20100 Denizli, Turkey.

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Turkey
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Keywords

wavelets; quasilinearization technique, approximate solution; extended Fisher-Kolmogorov equation; Gegenbauer

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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