Homotopy perturbation method for a limit case Stefan problem governed by fractional diffusion equation |
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Authors: | Rajeev MS Kushwaha |
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Institution: | Department of Applied Mathematics, Indian Institute of Technology (Banaras Hindu University), Varanasi 221 005, India |
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Abstract: | 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 < α ? 1 and variable latent heat. The approximate solution of the problem is obtained by homotopy perturbation method. The results thus obtained are compared graphically with the exact solutions. A brief sensitivity study is also performed. |
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Keywords: | Homotopy perturbation method Taylor&rsquo s series Generalized Stefan problem Sediment transport Shoreline problem Fractional derivative |
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