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Ganji, Z. Z.; Ganji, D. D.; Esmaeilpour, M.

Study on nonlinear Jeffery-Hamel flow by He’s semi-analytical methods and comparison with numerical results. (English) Zbl 1189.65298

Comput. Math. Appl. 58, No. 11-12, 2107-2116 (2009).
Summary: The problem of Jeffery-Hamel flow is presented and the variational iteration method and the homotopy perturbation method are employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. Comparisons are made between the Numerical solution (NM) and the results of the He’s variational iteration method (VIM) and He’s homotopy perturbation method (HPM). The results reveal that these methods are very effective and simple and can be applied for other nonlinear problems.

Cited in 20 Documents

MSC:

65N99 Numerical methods for partial differential equations, boundary value problems
35Q35 PDEs in connection with fluid mechanics

Keywords:

He’s variational iteration method (VIM); nonlinear ordinary differential equation; He’s homotopy perturbation method (HPM)
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\textit{Z. Z. Ganji} et al., Comput. Math. Appl. 58, No. 11--12, 2107--2116 (2009; Zbl 1189.65298)
Full Text: DOI

References:

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