An approximate solution to a moving boundary problem with space-time fractional derivative in fluvio-deltaic sedimentation process

被引：10

作者：

Rajeev ^{[1
]}

Kushwaha, Mohan Singh ^{[1
]}

Kumar, Ajay ^{[1
]}

机构：

[1] Banaras Hindu Univ, Indian Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India

来源：

AIN SHAMS ENGINEERING JOURNAL | 2013年 / 4卷 / 04期

关键词：

Adomian decomposition method; Moving boundary problem; Sediment transport; Shoreline problem; Fractional derivatives;

D O I：

10.1016/j.asej.2012.12.005

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A mathematical model of the movement of the shoreline in a sedimentary ocean basin is discussed. The model includes space-time fractional derivative in Caputo sense and variable latent heat term. An approximate solution of the problem is obtained by Adomian decomposition method and the results thus obtained are compared graphically with an exact solution of integer order (beta = 1, alpha = 1). Three particular cases, the standard diffusion, the time-fractional and the space-fractional diffusions are also discussed. The model and solution are generalization of previous works. (C) 2013 Ain Shams University. Production and hosting by Elsevier B.V. All rights reserved.

引用

页码：889 / 895

页数：7

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