Exact analytical solution of a nonlinear equation arising in heat transfer

被引：43
|
作者：
Abbasbandy, S. [1 ]
Shivanian, E. [1 ]
机构：
[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916818, Iran
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 04期
关键词：
Nonlinear heat transfer equation; Exact analytic solutions; Hypergeometric function; Gamma function; HOMOTOPY-PERTURBATION METHOD;
D O I：
10.1016/j.physleta.2009.11.062
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This Letter shows that the nonlinear equation arising in heat transfer recently investigated in papers [D.D. Ganji, Phys. Lett. A 355 (2006) 337; S. Abbasbandy, Phys. Lett. A 360 (2006) 109; Flafez Tari, D.D. Ganji, H. Babazadeh. Phys. Lett. A 363 (2007) 213] and [M.S.H. Chowdhury, I. Hashim. Phys. Lett. A 372 (2008) 1240] is exactly solvable, analyses the equation fully and, furthermore, gives analytic exact Solution in implicit form for each value of parameters of equation. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：567 / 574
页数：8
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