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Zbl 1236.80010
Abbasbandy, S.
The application of homotopy analysis method to nonlinear equations arising in heat transfer. (English)
[J] Phys. Lett., A 360, No. 1, 109-113 (2006). ISSN 0375-9601

Summary: Here, the homotopy analysis method (HAM), which is a powerful and easy-to-use analytic tool for nonlinear problems and dose not need small parameters in the equations, is compared with the perturbation and numerical and homotopy perturbation method (HPM) in the heat transfer filed. The homotopy analysis method contains the auxiliary parameter $\hbar$, which provides us with a simple way to adjust and control the convergence region of solution series.

MSC 2000:: *80M25 Other numerical methods
80A20 Heat and mass transfer

Keywords: fin radiation; homotopy analysis method; perturbation method; homotopy perturbation method

Cited in: Zbl 1235.35273

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Zentralblatt MATH Berlin [Germany]