Solving Dual Fuzzy Nonlinear Equations via Shamanskii Method

  • Authors

    • Ibrahim Mohammed Sulaiman
    • Mustafa Mamat
    • Nurnadiah Zamri
    • Puspa Liza Ghazali
    2018-08-17
    https://doi.org/10.14419/ijet.v7i3.28.20974
  • Fuzzy nonlinear equations, numerical methods, parametric form, Shamanskii method.

  • Abstract

    New ideas on numerical methods for solving fuzzy nonlinear equations have spread quickly across the globe. However, most of the methods available are based on Newton’s approach whose performance is impaired by either discontinuity or singularity of the Jacobian at the solution point. Also, the study of dual fuzzy nonlinear equations is yet to be explored by many researchers. Thus, in this paper, a numerical method to investigate the solution of dual fuzzy nonlinear equations is proposed. This method reduces the computational cost of Jacobian evaluation at every iteration. The fuzzy coefficients are presented in its parametric form. Numerical results obtained have shown that the proposed method is efficient.

     

  • References

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  • How to Cite

    Mohammed Sulaiman, I., Mamat, M., Zamri, N., & Liza Ghazali, P. (2018). Solving Dual Fuzzy Nonlinear Equations via Shamanskii Method. International Journal of Engineering & Technology, 7(3.28), 89-91. https://doi.org/10.14419/ijet.v7i3.28.20974

    Received date: 2018-10-04

    Accepted date: 2018-10-04

    Published date: 2018-08-17