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Exact analytical solution of a nonlinear equation arising in heat transfer
Authors:S. Abbasbandy  E. Shivanian
Affiliation:Department of Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran
Abstract: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; Hafez 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.
Keywords:Nonlinear heat transfer equation   Exact analytic solutions   Hypergeometric function   Gamma function
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