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Advances in Mathematical Physics
Volume 2015, Article ID 642835, 4 pages
http://dx.doi.org/10.1155/2015/642835
Research Article

Comparison of Optimal Homotopy Asymptotic and Adomian Decomposition Methods for a Thin Film Flow of a Third Grade Fluid on a Moving Belt

1Department of Mathematics, University of Peshawar, Peshawar, Pakistan
2Department of Mathematics, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, Thailand
3Centre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, Thailand

Received 24 March 2015; Accepted 11 May 2015

Academic Editor: John D. Clayton

Copyright © 2015 Fazle Mabood and Nopparat Pochai. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. M. Siddiqui, R. Mahmood, and Q. K. Ghori, “Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane,” Chaos, Solitons & Fractals, vol. 35, no. 1, pp. 140–147, 2008. View at Publisher · View at Google Scholar · View at Scopus
  2. A. M. Siddiqui, R. Mahmood, and Q. K. Ghori, “Thin film flow of a third grade fluid on a moving belt by He's homotopy perturbation method,” International Journal of Nonlinear Sciences and Numerical Simulation, vol. 7, no. 1, pp. 7–14, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. A. M. Siddiqui, A. A. Farooq, T. Haroon, and B. S. Babcock, “A comparison of variational iteration and Adomian decomposition methods in solving nonlinear thin film flow problems,” Applied Mathematical Sciences, vol. 6, no. 97-100, pp. 4911–4919, 2012. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  4. N. Herişanu, V. Marinca, T. Dordea, and G. Madescu, “A new analytical approach to nonlinear vibration of an electrical machine,” Proceedings of the Romanian Academy Series A: Mathematics Physics Technical Sciences Information Science, vol. 9, no. 3, pp. 229–236, 2008. View at Google Scholar · View at Scopus
  5. V. Marinca and N. Herisanu, “Optimal homotopy perturbation method for strongly nonlinear differential equations,” Nonlinear Science Letters A, vol. 1, no. 3, pp. 273–280, 2010. View at Google Scholar
  6. V. Marinca and N. Herişanu, “Application of optimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer,” International Communications in Heat and Mass Transfer, vol. 35, no. 6, pp. 710–715, 2008. View at Publisher · View at Google Scholar · View at Scopus
  7. F. Mabood, W. A. Khan, and A. I. M. Ismail, “Optimal homotopy asymptotic method for heat transfer in hollow sphere with robin boundary conditions,” Heat Transfer—Asian Research, vol. 43, no. 2, pp. 124–133, 2014. View at Publisher · View at Google Scholar · View at Scopus
  8. V. Marinca and N. Herişanu, “Determination of periodic solutions for the motion of a particle on a rotating parabola by means of the optimal homotopy asymptotic method,” Journal of Sound and Vibration, vol. 329, no. 9, pp. 1450–1459, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. N. Herisanu, V. Marinca, and G. Madescu, “An analytical approach to non-linear dynamical model of a permanent magnet synchronous generator,” Wind Energy, 2014. View at Publisher · View at Google Scholar