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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 432Application of Homotopy Perturbation Method for...

Application of Homotopy Perturbation Method for the Generalized Burgers-Fisher Equation

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Abstract:

The homotopy perturbation method (HPM) is generalized to solve the generalized Burgers-Fisher equation, and some new analytical solutions for the given system are achieved. Furthermore, the comparison of the result obtained using this method with the exact ones reveals that the HPM is a promising tool for solving nonlinear systems.

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Periodical:

Applied Mechanics and Materials (Volume 432)

Pages:

173-178

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.432.173

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Online since:

September 2013

Authors:

Jun Yu, Jian Gang Huang

Keywords:

Analytical Solution, Generalized Burgers-Fisher Equation, Homotopy Perturbation Method

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] G. Gao, Science in China A 6(1985)58.

[2] R.A. Fisher, Ann. Eugenics 7(1937)355.

[3] N.F. Britton, Reaction-diﬀusion equation and their applications to biology, New York: AcademicPress; (1986).

[4] D.A. Frank-Kamenetskii, Diﬀusion and heat exchange in chemical kinetics, New Jersey: Princeton University Press; (1955).

[5] P.C. Fife and J.B. McLeod, Arch. Rational Mech. Anal. 65(1977)335.

[6] M.D. Bramson, Comm. Pure Appl. Math. 31(1978)531.

[7] J. Riordan, C.R. Doering and D. ben-Avraham, Phys. Rev. Lett. 75(1995)565.

[8] S. Coen, M. Tlidi, Ph. Emplit and M. Haelterman, Phys. Rev. Lett. 83(1999)2328.

DOI: 10.1103/physrevlett.83.2328

[9] J. Canosa, J. Math. Phys. 10(1969)1862.

[10] J.H. He, Int. J. Non-Linear Mech. 35(2000)37.

[11] J.H. He, Appl. Math. Comput. 135(2003)73.

[12] A. Sadighi and D.D. Ganji, Phys. Lett. A 367(2007)83.

[13] L. Zou, Z. Zong, Z. Wang and L. He, Phys. Lett. A 370(2007)287.

[14] J. Biazar, M. Eslami and H. Aminikhah, Chaos, Solitons Fractals, 42(2009)3020.

DOI: 10.1016/j.chaos.2009.04.016

[15] X. Y. Wang, Z. S. Shu, Y. K. Lu, J. Phys. A: Math. Gen. 23 (1990) 271.

[16] H.T. Chen and H.Q. Zhang, Chaos, Solitons Fractals, 19(2004)71.

[17] D. Kaya and S.M. El-Sayed, Appl. Math. Comput. 152(2004)403.

[18] H.N. A Ismail and A.A. A Rabboh, Appl. Math. Comput. 154(2004)203.

[19] A.M. Wazwaz, Appl. Math. Comput. 169(2005)321.