Fourier spectral method for higher order space fractional reaction–diffusion equations

•Fractional Fourier Transform method is proposed to solve fractional reaction – diffusion problems.•We investigate the linear stability analysis of the model, in our analysis results.•The dynamic richness of spatial pattern formations is explored in the sub-diffusive, diffusive and super-diffusive c...

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Bibliographic Details
Published in:	Communications in nonlinear science & numerical simulation Vol. 40; pp. 112 - 128
Main Authors:	Pindza, Edson, Owolabi, Kolade M.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.11.2016
Subjects:	Derivatives Evolution Fourier analysis Fourier transform Fractional exponential integrators Fractional reaction–diffusion system Mathematical analysis Mathematical models Pattern formation Reaction-diffusion equations Spectral methods Three dimensional Turing instability 65L05 Pattern formation 35A05 93C10 Turing instability Fractional reaction–diffusion system 65M06 Fractional exponential integrators Fourier transform 35K57
ISSN:	1007-5704, 1878-7274
Online Access:	Get full text
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