Optimal homotopy asymptotic method with application to thin film flow
By Vasile Marinca, Nicolae Herisanu, Iacob Nemes. 2008
280 citations recorded by the source corpus.
A new approximate analytical technique to address for non-linear problems, namely Optimal Homotopy Asymptotic Method (OHAM) is proposed and has been applied to thin film flow of a fourth grade fluid down a vertical cylinder. This approach however, does not depend upon any small/large parameters in comparison to other perturbation method. This method provides a convenient way to control the convergence of approximation series and allows adjustment of convergence regions where necessary. The series solution has been developed and the recurrence relations are given explicitly. The results reveal that the proposed method is very accurate, effective and easy to use.
Subfields: Biomedical Engineering, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/cd058e4254af5d6227b8de07f5847f3db3cba65d
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In Biomedical Engineering
- Shijun Liao
- Mohammad Mehdi Rashidi
- Tasawar Hayat
- Muhammad Sajid
- Saeid Abbasbandy
- Navid Freidoonimehr
- Y. Tan
- Shijun Liao
In Modeling and Simulation
- Shijun Liao
- Mohammad Mehdi Rashidi
- Mustafa Turkyilmazoglu
- Tasawar Hayat
- Saeid Abbasbandy
- Muhammad Sajid
- Navid Freidoonimehr
- Magdy A. El-Tawil
In Numerical Analysis
- Shijun Liao
- Mohammad Mehdi Rashidi
- Mustafa Turkyilmazoglu
- Tasawar Hayat
- Saeid Abbasbandy
- Zaid M. Odibat
- Muhammad Sajid
- A. Sami Bataineh
Citations in the corpus
- An optimal homotopy-analysis approach for strongly nonlinear differential equations (2010, methodology): “[54] combined c0 and AðqÞ in the zeroth-order deformation Eq.”