Comparison between the HAM and HPM solutions of thin film flows of non-Newtonian fluids on a moving belt View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2007-10

AUTHORS

M. Sajid, T. Hayat, S. Asghar

ABSTRACT

In this paper, we prove in general that the homotopy perturbation method (HPM) proposed in 1998 is only a special case of the homotopy analysis method (HAM) profound in 1992 when ħ = −1. Besides, by using the thin film flows of Sisko and Oldroyd 6-constant fluids on a moving belt as examples, we show that the solutions given by HPM (Siddiqui, A.M., Ahmed, M., Ghori, Q.K.: Chaos Solitons and Fractals (2006) in press) are divergent, and thus useless. However, by choosing a proper value of the auxiliary parameter ħ, we give convergent series solution by means of the HAM. These two examples also show that, different from the HPM and other traditional analytic techniques, the HAM indeed provides us with a simple way to ensure the convergence of the solution. More... »

PAGES

27-35

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11071-006-9140-y

DOI

http://dx.doi.org/10.1007/s11071-006-9140-y

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https://app.dimensions.ai/details/publication/pub.1029159588


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