An approximate analytical solution of time-fractional telegraph equation

被引：52
|
作者：
Das, S. [2 ]
Vishal, K. [2 ]
Gupta, P. K. [2 ]
Yildirim, A. [1 ]
机构：
[1] Ege Univ, Fac Sci, Dept Math, TR-35100 Bornova, Turkey
[2] Banaras Hindu Univ, Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 18期
关键词：
Telegraph equation; Fractional time derivative; Fractional Brownian motion; Homotopy analysis method; HOMOTOPY ANALYSIS METHOD;
D O I：
10.1016/j.amc.2011.02.030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the powerful, easy-to-use and effective approximate analytical mathematical tool like homotopy analysis method (HAM) is used to solve the telegraph equation with fractional time derivative a (1 < alpha <= 2). By using initial values, the explicit solutions of telegraph equation for different particular cases have been derived. The numerical solutions show that only a few iterations are needed to obtain accurate approximate solutions. The method performs extremely well in terms of efficiency and simplicity to solve this historical model. (C) 2011 Elsevier Inc. All rights reserved.
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页码：7405 / 7411
页数：7
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