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2008 | 6 | 3 | 648-653
Tytuł artykułu

Optimal homotopy asymptotic method with application to thin film flow

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
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.
Wydawca

Czasopismo
Rocznik
Tom
6
Numer
3
Strony
648-653
Opis fizyczny
Daty
wydano
2008-09-01
online
2008-07-17
Twórcy
  • 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
autor
  • Department of Mechanics and Vibration, Politehnica University of Timişoara, Bd. Mihai Viteazu 1, 300222, Timişoara, Romania
Bibliografia
  • [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]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0061-x
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