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Numerical Solution for Solving System of Fuzzy Nonlinear Integral Equation by Using Modified Decomposition Method

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  • Alan Jalal Abdulqader

Abstract

In this paper, we intend to offer system of fuzzy nonlinear integral equation also numerical scheme to solve. by using the new and fast technique to solve our problem. we try to discuss some numerical aspects such as convergence and error analysis. Finally, accuracy and applicability of the proposed methods are carried out along with comparisons using some numerical examples.

Suggested Citation

  • Alan Jalal Abdulqader, 2018. "Numerical Solution for Solving System of Fuzzy Nonlinear Integral Equation by Using Modified Decomposition Method," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(1), pages 32-43, February.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:1:p:32
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    References listed on IDEAS

    as
    1. Abbasbandy, S. & Nieto, Juan J. & Alavi, M., 2005. "Tuning of reachable set in one dimensional fuzzy differential inclusions," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1337-1341.
    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. Jiang, Wang & Guo-Dong, Qiao & Bin, Deng, 2005. "H∞ Variable universe adaptive fuzzy control for chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1075-1086.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Fuzzy number; system of nonlinear Fuzzy Volterra integral equation; fuzzy integral; fuzzy Remian integral; Modified decomposition method;
    All these keywords.

    JEL classification:

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

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