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2012 | 10 | 4 | 966-976
Tytuł artykułu

Comparison of iterative methods by solving nonlinear Sturm-Liouville, Burgers and Navier-Stokes equations

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this manuscript the homotopy perturbation method, the new iterative method, and the variational iterative method have been successively used to obtain approximate analytical solutions of nonlinear Sturm-Liouville, Navier-Stokes and Burgers’ equations. It is shown that the homotopy perturbation method gives approximate analytical solution near to the exact one. We have illustrated the obtained results by sketching the graph of the solutions.
Wydawca

Czasopismo
Rocznik
Tom
10
Numer
4
Strony
966-976
Opis fizyczny
Daty
wydano
2012-08-01
online
2012-07-17
Twórcy
  • Department of Physics, Islamic Azad University, Urmia Branch, P.O. BOX 969, Oromiyeh, Iran
  • Department of Physics, Islamic Azad University, Urmia Branch, P.O. BOX 969, Oromiyeh, Iran
Bibliografia
  • [1] R. Hirota, Phys. Rev. Lett. 27, 1192 (1971) http://dx.doi.org/10.1103/PhysRevLett.27.1192[Crossref]
  • [2] C. Rogers, W. K. Schief, Backlund and Darboux transformations (Cambridge University Press, UK, 2002) http://dx.doi.org/10.1017/CBO9780511606359[Crossref]
  • [3] A.R. Chowdhury, Painleve analysis and its applications (Chapman and Hall/CRC, UK, 2000)
  • [4] G. Adomian, Solving frontier problems of physics: The decomposition method (Kluwer Academic, Boston, MA, 1994)
  • [5] J.H. He, Commun. Nonlin. Sci. Numer. Sim. 2, 230235 (1997)
  • [6] J.H. He, Comput. Meth. Appl. Mech. Eng. 167, 5768 (1998)
  • [7] J.H. He, Comput. Meth. Appl. M. 167, 6973 (1998)
  • [8] J.H. He, Int. J. N. Lin. Mech. 34, 699708 (1999)
  • [9] J.H. He, Appl. Math. Comput. 114, 123 (2000) http://dx.doi.org/10.1016/S0096-3003(99)00104-6[Crossref]
  • [10] J.H. He, Commun. Nonlin. Sci. Numer. Sim. 2, 236 (1997)
  • [11] J.H. He, Comput. Meth. Appl. Mech. Eng. 178, 262 (1999) http://dx.doi.org/10.1016/S0045-7825(99)00018-3[Crossref]
  • [12] J.H. He, Appl. Math. Comp. 135, 7379 (2003)
  • [13] J.H. He, Int. J. N. Lin. Mech. 35, 3743 (2000)
  • [14] J.H. He, Phys. Lett. A 350, 8788 (2006) http://dx.doi.org/10.1016/j.physleta.2005.10.005[Crossref]
  • [15] S. Abbasbandy, A. Shirzadia, Commun. Nonlin. Sci. Numer. Sim. 16, 112 (2011) http://dx.doi.org/10.1016/j.cnsns.2010.04.004[Crossref]
  • [16] D. Altintan, O. Ugur, Comput. Math. Appl. 58, 322 (2009) http://dx.doi.org/10.1016/j.camwa.2009.02.029[Crossref]
  • [17] D. Baleanu, Alireza K. Golmankhaneh, A.K. Golmankhaneh, Rom. J. Phys. 54, (2009)
  • [18] A.K. Golmankhaneha, A.K. Golmankhaneh, D. Baleanu, Signal Proc. 19, 3 (2011)
  • [19] S. Bhalekar, V. Daftardar-Gejji, Appl. Math. Comput. 203, 778 (2008) http://dx.doi.org/10.1016/j.amc.2008.05.071[Crossref]
  • [20] V. Daftardar-Gejji, S. Bhalekar, Comput. Math. Appl. 59, 1801 (2010) http://dx.doi.org/10.1016/j.camwa.2009.08.018[Crossref]
  • [21] M.A. Abdou, A.A. Soliman, Physica D 211, 18 (2005) http://dx.doi.org/10.1016/j.physd.2005.08.002[Crossref]
  • [22] M.A. Abdou, A.A. Soliman, J. Comput. Appl. Math. 181, 245 (2005) http://dx.doi.org/10.1016/j.cam.2004.11.032[Crossref]
  • [23] S. Momani, S. Abuasad, Chaos 27, 1119 (2006)
  • [24] H.K. Liu, Appl. Math. Comput. 217, 5259 (2011) http://dx.doi.org/10.1016/j.amc.2010.11.024[Crossref]
  • [25] D.D. Ganji, M. Nourollahi, E. Mohseni, Comput. Math. Appl. 54, 1122 (2007) http://dx.doi.org/10.1016/j.camwa.2006.12.078[Crossref]
  • [26] D.D. Ganji, G.A. Afrouzi, R.A. Talarposhti, Phys. Lett. A 368, 450 (2007) http://dx.doi.org/10.1016/j.physleta.2006.12.086[Crossref]
  • [27] E. Hizel, S. Küçükarslan, Nonlin. Anal. Real World Appl. 10, 1932 (2009) http://dx.doi.org/10.1016/j.nonrwa.2008.02.033[Crossref]
  • [28] S.J. Liao, Appl. Math. Comput. 147, 499 (2004) http://dx.doi.org/10.1016/S0096-3003(02)00790-7[Crossref]
  • [29] S.J. Liao, Commun. Nonlinear Sci. Numer. Simul. 14, 983 (2009) http://dx.doi.org/10.1016/j.cnsns.2008.04.013[Crossref]
  • [30] D. Zwillinger, Handbook of Differential Equations, 3rd ed. (Academic Press, Boston, MA, 1997)
  • [31] J.M. Burgers, Adv. Appl. Mech. 1, 171 (1948) http://dx.doi.org/10.1016/S0065-2156(08)70100-5[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0038-7
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