Comparison of optimal homotopy asymptotic method and homotopy perturbation method for strongly non-linear equation

Fazle Mabood1
1Department of Mathematics, Edwardes College Peshawar, KPK 25000, Pakistan

Tài liệu tham khảo

Adriana V.B., 2008, Nonlinearity, 21, 1621, 10.1088/0951-7715/21/7/013 Bresch D., 1999, Int. J. Non-Linear Mech., 34, 485, 10.1016/S0020-7462(98)00034-1 Busuioc A.V., 2008, Nonlinearity, 21, 1621, 10.1088/0951-7715/21/7/013 Elahi R., 2010, Math. Comput. Model., 52, 1783, 10.1016/j.mcm.2010.07.005 Ellahi R., 2012, Adv. Math. Phys., 11 Ellahi R., 2011, J. Nanoeng. Nanosyst., 225, 123 Ganji D.D., 2006, Int. Commun. Heat Mass Transfer, 33, 391, 10.1016/j.icheatmasstransfer.2005.11.001 Ganji D.D., 2006, Int. J. Nonlinear Sci. Numer. Simul., 7, 411, 10.1515/IJNSNS.2006.7.4.411 Hameed H., 2011, Int. J. Numer. Method Fluids, 66, 1409, 10.1002/fld.2320 Hayat T., 2008, Chaos Solitons Fractals, 38, 1336, 10.1016/j.chaos.2008.03.006 Hayat T., 2009, Commun. Nonlinear Sci. Numer. Simulat., 14, 133, 10.1016/j.cnsns.2007.08.001 He J.H., 2000, Appl. Math. Comput., 114, 115 He J.H., 2004, Appl. Math. Comput., 156, 591 He J.H., 2004, Appl. Math. Comput., 151, 287 He J.H., 2005, Chaos Solitons Fractals, 26, 695, 10.1016/j.chaos.2005.03.006 He J.H., 2005, Int. J. Non-linear Sci. Numer. Simul., 8, 207 He J.H., 2006, Phys. Lett. A, 350, 87, 10.1016/j.physleta.2005.10.005 J.H.HeNon-perturbative Methods for Strongly Nonlinear Problems, Berlin Dissertation2006De-Verlagim Internet Grmb H He J.H., 2006, Int. J. Mod. Phys., 20, 1141, 10.1142/S0217979206033796 Herisanu N., 2008, Proc. Rom. Acad. Ser. A, 9, 229 Khan N., 2012, Int. J. Nonlinear Sci., 13, 105 Kumaran V., 2012, Arch. Appl. Mech., 82, 261, 10.1007/s00419-011-0554-8 S.J.LiaoBeyond Perturbation: Introduction to the Homotopy Analysis Method2003Chapman and Hall/CRC PressBoca Raton Mabood F., 2013, Heat Transfer-Asian Res., 10 Mabood F., 2013, Sains Malaysiana, 42, 863 Marinca V., 2008, Int. Commun. Heat Mass Transfer, 35, 710, 10.1016/j.icheatmasstransfer.2008.02.010 Marinca V., 2010, J. Sound Vib., 329, 1450, 10.1016/j.jsv.2009.11.005 Marinca V., 2010, Nonl. Sci. Lett. A, 1, 273 Moghimi S.M., 2011, Comput. Math. Appl., 61, 2213, 10.1016/j.camwa.2010.09.018 Siddiqui A.M., 2008, Chaos Solitons Fractals, 35, 140, 10.1016/j.chaos.2006.05.026 Zhang R., 2005, J. Eng. Math., 51, 1, 10.1007/s10665-004-1342-z