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Homotopy Analysis Method for Solving Fuzzy Integro-Differential Equations

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  • Eman Hussain
  • Ayad Ali

Abstract

In this paper, the numerical solution of the linear and nonlinear fuzzy Volterraintegro-differential equations have been investigated using the analytical method namely homotopy analysis method (HAM) and then the proposed method is illustrated by solving two numerical examples. It was found that the HAM provides a simple way to adjust and control the convergence region of solution series by introducing a nonzero auxiliary parameter h.

Suggested Citation

  • Eman Hussain & Ayad Ali, 2013. "Homotopy Analysis Method for Solving Fuzzy Integro-Differential Equations," Modern Applied Science, Canadian Center of Science and Education, vol. 7(3), pages 1-15, March.
    • Handle: RePEc:ibn:masjnl:v:7:y:2013:i:3:p:15
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    References listed on IDEAS

    as
    1. Chalco-Cano, Y. & Román-Flores, H., 2008. "On new solutions of fuzzy differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 112-119.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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