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

被引：29
作者：
Rajeev [1 ]
Kushwaha, M. S. [1 ]
机构：
[1] Banaras Hindu Univ, Indian Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India
来源：
APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 05期
关键词：
Homotopy perturbation method; Taylor's series; Generalized Stefan problem; Sediment transport; Shoreline problem; Fractional derivative; MOVING BOUNDARY-PROBLEMS; ANOMALOUS DIFFUSION; RANDOM-WALKS; RELEASE; DRUG; TRANSPORT; SOLUTE;
D O I：
10.1016/j.apm.2012.07.047
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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 < alpha <= 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 solution. A brief sensitivity study is also performed. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：3589 / 3599
页数：11
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