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Numerical method for solving linear Fredholm fuzzy integral equations of the second kind

Author

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  • Abbasbandy, S.
  • Babolian, E.
  • Alavi, M.

Abstract

In this paper we use parametric form of fuzzy number and convert a linear fuzzy Fredholm integral equation to two linear system of integral equation of the second kind in crisp case. We can use one of the numerical method such as Nystrom and find the approximation solution of the system and hence obtain an approximation for fuzzy solution of the linear fuzzy Fredholm integral equations of the second kind. The proposed method is illustrated by solving some numerical examples.

Suggested Citation

  • Abbasbandy, S. & Babolian, E. & Alavi, M., 2007. "Numerical method for solving linear Fredholm fuzzy integral equations of the second kind," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 138-146.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:1:p:138-146
    DOI: 10.1016/j.chaos.2005.09.036
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    References listed on IDEAS

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    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. 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.
    3. Tanaka, Yosuke & Mizuno, Yuzi & Kado, Tatsuhiko, 2005. "Chaotic dynamics in the Friedmann equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 407-422.
    4. Caldas, M. & Jafari, S., 2005. "θ-Compact fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 229-232.
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    Cited by:

    1. Yousef Jafarzadeh, 2012. "Numerical solution for fuzzy Fredholm integral equations with upper-bound on error by splines interpolation," Fuzzy Information and Engineering, Springer, vol. 4(3), pages 339-347, September.
    2. A. K. Moloodpour & A. Jafarian, 2016. "Solving the First Kind Fuzzy Integral Equations Using a Hybrid Regularization Method and Bernstein Polynomials," Modern Applied Science, Canadian Center of Science and Education, vol. 10(9), pages 1-22, September.
    3. Hossein Attari & Allahbakhsh Yazdani, 2011. "A computational method for fuzzy Volterra-Fredholm integral equations," Fuzzy Information and Engineering, Springer, vol. 3(2), pages 147-156, June.

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