Homotopy perturbation method for a limit case Stefan problem governed by fractional diffusion equation

The work presents a mathematical model describing the time fractional anomalous-diffusion process of a generalized Stefan problem which is a limit case of a shoreline problem. In this model, the governing equations include a fractional time derivative of order 0

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Bibliographic Details
Published in:Applied mathematical modelling 2013-03, Vol.37 (5), p.3589-3599
Main Authors: Rajeev, Kushwaha, M.S.
Format: Article
Language:English
Subjects:
Approximation
Derivatives
Exact solutions
Fractional derivative
Generalized Stefan problem
Homotopy perturbation method
Latent heat
Mathematical analysis
Mathematical models
Perturbation methods
Sediment transport
Shoreline problem
Taylor’s series
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Description
Summary:The work presents a mathematical model describing the time fractional anomalous-diffusion process of a generalized Stefan problem which is a limit case of a shoreline problem. In this model, the governing equations include a fractional time derivative of order 0
ISSN:0307-904X
DOI:10.1016/j.apm.2012.07.047