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Easy computational approach to solution of system of linear Fredholm integral equations

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  • Golbabai, A.
  • Keramati, B.

Abstract

This paper is about the construction of a simple method to approximate the solution of system of linear Fredholm integral equations of the second kind based on Adomian’s decomposition method. Easy computations rather than successive integrations are used with simple algorithm. Some solved problems are given to show the efficiency of the method. The convergence of the method is also considered.

Suggested Citation

  • Golbabai, A. & Keramati, B., 2008. "Easy computational approach to solution of system of linear Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 568-574.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:2:p:568-574
    DOI: 10.1016/j.chaos.2007.01.036
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    References listed on IDEAS

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    1. Abbasbandy, S., 2007. "Application of He’s homotopy perturbation method to functional integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1243-1247.
    2. Bildik, Necdet & Inc, Mustafa, 2007. "Modified decomposition method for nonlinear Volterra–Fredholm integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 308-313.
    3. Cveticanin, L., 2006. "Homotopy–perturbation method for pure nonlinear differential equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1221-1230.
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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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