References

THE MODIFIED HOMOTOPY PERTURBATION METHOD AND ITS APPLICATION IN SOLVING NONLINEAR INTEGRAL EQUATIONS


[1] S. Abbasbandy, Application of He’s homotopy perturbation method to functional integral equations, Chaos Solitons and Fractals 31 (2007), 1243-1247.

[2] E. Baboolian and A. S. Shamloo, Numerical solution of Volterra integral integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions, J. Comput. Appl. Math. 214 (2008), 495-508.

[3] J. Biazar and H. Ghazvini, Exact solution for nonlinear Schrödinger equation by He’s homotopy perturbation method, Phys. Lett. A 366 (2007), 79-84.

[4] M. El-shahed, Application of He’s homotopy perturbation method to Volterra’s integro-differential equation, Int. J. Nonlinear Sci. Numer. Simul. 6 (2005), 163-168.

[5] D. D. Ganji, G. A. Afrouzi, H. Hosseinzadeh and R. A. Talarposhti, Application of homotopy perturbation method to the second kind of nonlinear integral equations, Phys. Lett. A 371 (2007), 20-25.

[6] A. Ghorbani and J. Saberi-Nadjafi, Exact solutions for nonlinear integral equations by a modified homotopy perturbation method, Comput. Math. Appl. 56 (2008), 1032-1039.

[7] A. Ghorbani, Beyond Adomian polynomials: He polynomials, Chaos Solitons and Fractals 39 (2009), 1486-1492.

[8] A. Golbabai and B. Keramati, Modified homotopy perturbation method for solving Fredholm integral equations, Chaos Solitons and Fractals 37 (2008), 1528-1537.

[9] J. H. He, A coupling method of homotopy technique and perturbation technique for nonlinear problems, Int. Nonlinear Mech. 35 (2000), 1221-1230.

[10] J. H. He, The homotopy perturbation method for nonlinear oscillators with discontinuities, Appl. Math. Comput. 151 (2004), 287-289.

[11] J. H. He, Application of homotopy perturbation method to nonlinear wave equations, Chaos Solitons and Fractals 26 (2005), 695-700.

[12] R. K. Pandey, O. P. Singh and V. K. Singh, Efficient algorithms to solve singular integral equation of Abel type, Comput. Math. Appl. 57 (2009), 664-676.