The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
권호 표지
DOI QR코드

DOI QR Code

AN ACCELERATING SCHEME OF CONVERGENCE TO SOLVE FUZZY NON-LINEAR EQUATIONS

  • Jun, Younbae (Department of Applied Mathematics, Kumoh National Institute of Technology)
  • Received : 2016.12.21
  • Accepted : 2017.02.13
  • Published : 2017.02.28
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we propose an accelerating scheme of convergence of numerical solutions of fuzzy non-linear equations. Numerical experiments show that the new method has significant acceleration of convergence of solutions of fuzzy non-linear equation. Three-dimensional graphical representation of fuzzy solutions is also provided as a reference of visual convergence of the solution sequence.

Keywords

References

  1. S. Abbasbandy & B. Asady: Newton's method for solving fuzzy nonlinear equations. Appl. Math. Comput. 159 (2004), 349-356.
  2. R.L. Burden & J.D. Faires: Numerical Analysis. Brooks Cole, 2010.
  3. S.M. Khorasani & M.H.D. Aghcheghloo: Solving fuzzy nonlinear equation with secand method. Internat. J. Algebra 5 (2011), 295-299.
  4. M. Paripour, E. Zarei & A. Shahsavaran: Nuemrical solution for a system of fuzzy nonlinear equations. J. Fuzzy Set Valued Anal. 2014 (2014), 1-10.
  5. F. Rogers & Y. Jun: Fuzzy nonlinear optimization for the linear fuzzy real number system. Internat. Math. Forum 4 (2009), 587-596.
  6. G.K. Saha & S. Shirin: A new approach to solve fuzzy non-linear equations using fixed point iteration algorithm. J. Bangladesh Math. Soc. 32 (2012), 15-21.
  7. G.K. Saha & S. Shirin: Solution of fuzzy non-linear equation using bisection algorithm. Dhaka Univ. J. Sci. 61 (2013), 53-58.
  8. L.S. Senthilkumar & K. Ganesan: Solving fuzzy nonlinear equation using harmonic mean method. Internat. J. Sci. Engineering Research 6 (2015), 229-232.
  9. J. Shokri: Numerical method for solving fuzzy nonlinear equations. Appl. Math. Sci. 2 (2008), 1191-1203.
  10. M.Y. Waziri & Z.A. Majid: A new approach for solving dual fuzzy nonlinear equations using Broyden's and Newton's methods. Advances in Fuzzy Systems 2012 (2012), 1-5.
  11. L.A. Zadeh: Fuzzy sets. Information and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X