References

NUMERICAL SOLUTION OF KAWAHARA'S EQUATION BY COMBINING HOMOTOPY PERTURBATION AND VARIATIONAL ITERATION METHODS


[1] F. Z. Geng and M. G. Cui, Solving nonlinear multi-point boundary value problems by combining homotopy perturbation and variational iteration methods, Int. J. Nonlinear Sci. Num. Simul. 10 (2009), 597-600.

[2] J. H. He, Comput. Methods Appl. Mech. Eng. 167 (1998), 69.

[3] J. H. He, Variational iteration method-a kind of non-linear analytical technique: Some examples, Int. J. Nonlinear Mech. 34(4) (1999), 699-708.

[4] J. H. He, Homotopy perturbation technique, Comput. Methods Appl. Mech. Eng. 178(3-4) (1999), 257-262.

[5] J. H. He, Comparison of homotopy perturbation method and homotopy analysis method, Appl. Math. Comput. 156 (2) (2004), 527-539.

[6] J. H. He, Homotopy perturbation method for bifurcation of nonlinear problems, Int. J. Nonlinear Sci. Num. Simul. 6(2) (2005), 207-208.

[7] J. H. He, Non-Perturbative Method for Strongly Nonlinear Problems, Dissertation, de Verlag in Internet GmbH, Berlin, 2006.

[8] J. H. He, Some asymptotic methods for strongly nonlinear equations, Int. J. Mod. Phys. B 20(1) (2006), 1141-1199.

[9] J. H. He, Int. J. Mod. Phys. B 20(18) (2006), 2561.

[10] J. H. He and X. H. Wu, Chaos Solitons Fractals 29 (2006), 108.

[11] J. H. He, Homotopy perturbation method for solving boundary value problems, Physics Letters A 350(1-2) (2006), 87-88.

[12] J. H. He and X. H. Wu, Variational iteration method: New development and applications, Computers and Mathematics with Applications 54(7-8) (2007), 881-894.

[13] J. H. He, G. C. Wu and F. Austin, The variational iteration method which should be followed, Nonlinear Science Letters A 1 (2010), 1-30.

[14] M. Matinfar, H. Hosseinzadeh and M. Ghanbari, Exact and numerical solution of Kawahara equation by the variational iteration method, Appl. Math. Sci. 2(43) (2008), 2119-2126.

[15] S. T. Mohyud-Din, Solving heat and wave-like equations using He’s polynomials, Mathematical Problems in Engineering 2009 (2009), Doi:10.1155/2009/427516.