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Solution of non-linear Fredholm integral equations of the first kind using modified homotopy perturbation method

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  • Golbabai, A.
  • Keramati, B.

Abstract

In this paper, we present a modification to homotopy perturbation method for solving some non-linear Fredholm integral equations of the first kind. Solved problems reveal that the proposed method is very effective and simple and in some cases it gives the exact solution rather than the approximated one.

Suggested Citation

  • Golbabai, A. & Keramati, B., 2009. "Solution of non-linear Fredholm integral equations of the first kind using modified homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2316-2321.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:5:p:2316-2321
    DOI: 10.1016/j.chaos.2007.06.120
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    References listed on IDEAS

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    1. Siddiqui, A.M. & Zeb, A. & Ghori, Q.K. & Benharbit, A.M., 2008. "Homotopy perturbation method for heat transfer flow of a third grade fluid between parallel plates," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 182-192.
    2. Abbasbandy, S., 2007. "Application of He’s homotopy perturbation method to functional integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1243-1247.
    3. Golbabai, A. & Keramati, B., 2008. "Modified homotopy perturbation method for solving Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1528-1537.
    4. Siddiqui, A.M. & Mahmood, R. & Ghori, Q.K., 2008. "Homotopy perturbation method for thin film flow of a third grade fluid down an inclined plane," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 140-147.
    5. Cveticanin, L., 2006. "Homotopy–perturbation method for pure nonlinear differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1221-1230.
    6. Öziş, Turgut & Yıldırım, Ahmet, 2007. "A note on He’s homotopy perturbation method for van der Pol oscillator with very strong nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 989-991.
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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.

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