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Journal
2008 | 6 | 3 | 648-653
Article title

Optimal homotopy asymptotic method with application to thin film flow

Content
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Languages of publication
EN
Abstracts
EN
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.
Publisher

Journal
Year
Volume
6
Issue
3
Pages
648-653
Physical description
Dates
published
1 - 9 - 2008
online
17 - 7 - 2008
Contributors
  • Department of Mechanics and Vibration, Politehnica University of Timişoara, Bd. Mihai Viteazu 1, 300222, Timişoara, Romania, vmarinca@mec.upt.ro
  • Department of Mechanics and Vibration, Politehnica University of Timişoara, Bd. Mihai Viteazu 1, 300222, Timişoara, Romania
author
  • Department of Mechanics and Vibration, Politehnica University of Timişoara, Bd. Mihai Viteazu 1, 300222, Timişoara, Romania
References
  • [1] T. Hayat, M. Sajid, Phys. Lett. A 361, 316 (2007) http://dx.doi.org/10.1016/j.physleta.2006.09.060[Crossref]
  • [2] A.M. Siddiqui, R. Mahmood, Q.K. Ghori, Phys. Lett. A 352, 404 (2006) http://dx.doi.org/10.1016/j.physleta.2005.12.033[Crossref]
  • [3] A.M. Siddiqui, R. Mahmood, Q.K. Ghori, Int.J. Nonlinear Sci. 7, 7 (2006)
  • [4] A.M. Siddiqui, M. Ahmed, Q.K. Ghori, Int. J. Nonlinear Sci. 7, 15 (2006)
  • [5] P.D. Ariel, T. Hayat, S. Asghar, Int. J. Nonlinear Sci. 7, 399 (2006)
  • [6] Q.K. Ghori, M. Ahmed, A.M. Siddiqui, Int. J. Nonlinear Sci. 8, 179 (2007)
  • [7] H. Tari, D.D. Ganji, M. Rostamian, Int. J. Nonlinear Sci. 8, 203 (2007)
  • [8] A.N. Hayfeh, Perturbation Methods (Wiley, New York, 2000)
  • [9] A.N. Nayfeh, Introduction to Perturbation Techniques (Wiley, New York, 1981)
  • [10] J.D. Cole, Perturbation Methods in Applied Mathematics (Blaisdell Publishing Company, Waltham, MA, 1968)
  • [11] R.E. Mickens, J. Sound Vibr. 116, 185 (1987) http://dx.doi.org/10.1016/S0022-460X(87)81330-5[Crossref]
  • [12] V. Marinca, N. Herişanu, Acta Mech. 184, 231 (2006) http://dx.doi.org/10.1007/s00707-006-0336-5[Crossref]
  • [13] J.H. He, Comput. Method. Appl. M. 178, 256 (1999) http://dx.doi.org/10.1016/S0045-7825(99)00018-3[Crossref]
  • [14] J.H. He, Appl. Math. Comput. 156, 527 (2004) http://dx.doi.org/10.1016/j.amc.2003.08.008[Crossref]
  • [15] J.H. He, Int. J. Mod. Phys. B 20, 1141 (2006) http://dx.doi.org/10.1142/S0217979206033796[Crossref]
  • [16] V. Marinca, Arch. Mech. 58, 241 (2006)
  • [17] S.J. Liao, Int. J. Nonlinear Mech. 34, 759 (1999) http://dx.doi.org/10.1016/S0020-7462(98)00056-0[Crossref]
  • [18] S.J. Liao, Appl. Math. Mech.-Engl. 19, 957 (1998) http://dx.doi.org/10.1007/BF02457955[Crossref]
  • [19] S.J. Liao, Int. J. Nonlinear Mech. 34, 759 (1999) http://dx.doi.org/10.1016/S0020-7462(98)00056-0[Crossref]
  • [20] S.J. Liao, Int. J. Nonlinear Mech. 39, 271 (2004) http://dx.doi.org/10.1016/S0020-7462(02)00174-9[Crossref]
  • [21] S.J. Liao, Appl. Math. Comput. 169, 1186 (2005) http://dx.doi.org/10.1016/j.amc.2004.10.058[Crossref]
  • [22] S.J. Liao, Y. Tan, Stud. Appl. Math. 119, 297 (2007) http://dx.doi.org/10.1111/j.1467-9590.2007.00387.x[Crossref]
  • [23] A. Alizadeh-Pahlavan, V. Aliakbar, F. Vakili-Farahani, K. Sadeghy, Comm. Nonlin. Sci. Num. Simul. doi:10.1016/j.cnsns.2007.09.011 [Crossref]
  • [24] F.M. Allan, M.I. Syam, J. Comput. Appl. Math. 182, 362 (2005) http://dx.doi.org/10.1016/j.cam.2004.12.017[Crossref]
  • [25] S. Abbasbandy, Phys. Lett. A 360, 109 (2006) http://dx.doi.org/10.1016/j.physleta.2006.07.065[Crossref]
  • [26] K. Yabushita, M. Yamashita, K. Tsuboi, J. Phys. A 40, 8403 (2007) http://dx.doi.org/10.1088/1751-8113/40/29/015[Crossref]
  • [27] S. Abbasbandy, Phys. Lett. A 361, 478 (2007) http://dx.doi.org/10.1016/j.physleta.2006.09.105[Crossref]
  • [28] H. Xu, S.J. Liao, I. Pop, Eur. J. Mech. B-Fluid 26, 15 (2007) http://dx.doi.org/10.1016/j.euromechflu.2005.12.003[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0061-x
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