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Modified homotopy perturbation method for solving non-linear Fredholm integral equations

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  • Javidi, M.
  • Golbabai, A.

Abstract

A numerical solution for solving non-linear Fredholm integral equations is presented. The method is based upon homotopy perturbation theory. The result reveal that the modified homotopy perturbation method (MHPM) is very effective and convenient.

Suggested Citation

  • Javidi, M. & Golbabai, A., 2009. "Modified homotopy perturbation method for solving non-linear Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1408-1412.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1408-1412
    DOI: 10.1016/j.chaos.2007.09.026
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    References listed on IDEAS

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    1. He, Ji-Huan, 2005. "Limit cycle and bifurcation of nonlinear problems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 827-833.
    2. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    3. He, Ji-Huan, 2005. "Application of homotopy perturbation method to nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 695-700.
    4. Abulwafa, E.M. & Abdou, M.A. & Mahmoud, A.A., 2006. "The solution of nonlinear coagulation problem with mass loss," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 313-330.
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    Cited by:

    1. Yildirim, Ahmet, 2009. "Homotopy perturbation method for the mixed Volterra–Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2760-2764.
    2. Oğuz, Cem & Sezer, Mehmet, 2015. "Chelyshkov collocation method for a class of mixed functional integro-differential equations," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 943-954.
    3. Yüzbaşı, Şuayip, 2015. "Numerical solutions of system of linear Fredholm–Volterra integro-differential equations by the Bessel collocation method and error estimation," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 320-338.

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