Non-perturbative solution of free-convective boundary-layer equation by Adomian decomposition method. (English) Zbl 1197.76097

Kechil, Seripah Awang; Hashim, Ishak

Phys. Lett., A 363, No. 1-2, 110-114 (2007).

Summary: A free-convective boundary layer flow modeled by a system of nonlinear ordinary differential equations is considered. The system is solved using the Adomian decomposition method (ADM) which yields an analytic solution in the form of a rapidly convergent infinite series with easily computable terms. The analytical solutions and the pertinent features of the illustrations show the efficiency of the method.

MSC:

76M25

Other numerical methods (fluid mechanics) (MSC2010)

Keywords:

Adomian decomposition method; similar boundary-layer; free-convective; nonlinear systems ODEs; Padé approximant

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