Adaptives quadratures and fractional IDEs: Applications in image processing | Zendy

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Adaptives quadratures and fractional IDEs: Applications in image processing

Author(s) -

Cuesta E.

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700402

Subject(s) - fractional calculus , banach space , operator (biology) , mathematics , image (mathematics) , derivative (finance) , mathematical analysis , pure mathematics , computer science , computer vision , chemistry , biochemistry , repressor , transcription factor , financial economics , economics , gene

In this paper we show adaptive time discretizations of a fractional integro–differential equation ∂ α t u = Δ u + f , where A is a linear operator in a complex Banach space X and ∂ α t stands for the fractional time derivative, for 1 < α < 2. Some numerical illustrations are provided showing practical applications where the computational cost is one of drawbacks, e.g., some problems related to images processing. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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