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Numerical solution of fuzzy differential equations by Nyström method

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  • Khastan, A.
  • Ivaz, K.

Abstract

In this paper, some numerical procedures for solving fuzzy first-order initial value problem have been investigated. Sufficiently conditions for stability and convergence of the proposed algorithms are given and their applicability is illustrated with examples.

Suggested Citation

  • Khastan, A. & Ivaz, K., 2009. "Numerical solution of fuzzy differential equations by Nyström method," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 859-868.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:859-868
    DOI: 10.1016/j.chaos.2008.04.012
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    References listed on IDEAS

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    1. El Naschie, M.S., 2005. "From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 969-977.
    2. Tanaka, Yosuke & Mizuno, Yuzi & Kado, Tatsuhiko, 2005. "Chaotic dynamics in the Friedmann equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 407-422.
    3. Zhang, Hongbin & Liao, Xiaofeng & Yu, Juebang, 2005. "Fuzzy modeling and synchronization of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 835-843.
    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. Nadjafikhah, M. & Bakhshandeh-Chamazkoti, R., 2009. "Fuzzy differential invariant (FDI)," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1677-1683.
    2. Zhang, Chuanlin & Ye, Guoju & Liu, Wei & Liu, Xuelong, 2024. "Upwind difference scheme for fuzzy convection–diffusion equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 223(C), pages 351-367.

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