# zbMATH — the first resource for mathematics

Exact analytical solution of a nonlinear equation arising in heat transfer. (English) Zbl 1235.35273
Summary: This Letter shows that the nonlinear equation arising in heat transfer recently investigated in [D. D. Ganji, Phys. Lett., A 355, No. 4–5, 337–341 (2006; Zbl 1255.80026); S. Abbasbandy, ibid. 360, No. 1, 109–113 (2006; Zbl 1236.80010); H. Tari, D. D. Ganji and H. Babazadeh, ibid. 363, No. 3, 213–217 (2007; Zbl 1197.80059); M. S. H. Chowdhury and I. Hashim, ibid. 372, No. 8, 1240–1243 (2008; Zbl 1217.35089)] is exactly solvable, analyses the equation fully and, furthermore, gives analytic exact solution in implicit form for each value of parameters of equation.

##### MSC:
 35Q79 PDEs in connection with classical thermodynamics and heat transfer 80A20 Heat and mass transfer, heat flow (MSC2010) 35G20 Nonlinear higher-order PDEs 33C05 Classical hypergeometric functions, $${}_2F_1$$ 33B15 Gamma, beta and polygamma functions
Full Text:
##### References:
 [1] Chowdhury, M.S.H.; Hashim, I., Phys. lett. A, 372, 1240, (2008) [2] Ganji, D.D., Phys. lett. A, 355, 337, (2006) [3] Tari, Hafez; Ganji, D.D.; Babazadeh, H., Phys. lett. A, 363, 213, (2007) [4] Abbasbandy, S., Phys. lett. A, 360, 109, (2006) [5] Magyari, E., Chem. eng. J., 143, 167, (2008)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.