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Fourier spectral methods for fractional-in-space reaction-diffusion equations

Abstract:

Fractional differential equations are becoming increasingly used as a powerful modelling approach for understanding the many aspects of nonlocality and spatial heterogeneity. However, the numerical approximation of these models is computationally demanding and imposes a number of computational constraints. In this paper, we introduce Fourier spectral methods as an attractive and easy-to-code alternative for the integration of fractional-in-space reactiondiffusion equations. The main advantage...

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Publication date:
2012-01-01
UUID:
uuid:213c2863-1a5d-4e46-829e-eadbcc5e75bc
Local pid:
oai:eprints.maths.ox.ac.uk:1551
Deposit date:
2012-07-05

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