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

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초록

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 signi¯cant 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.

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 signi¯cant 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.

참고문헌 (11)

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  2. R.L. Burden, "Numerical Analysis" (2010), Brooks Cole
  3. S.M. Khorasani, "Solving fuzzy nonlinear equation with secand method", Internat. J. Algebra, 5, pp.295~299 (2011)
  4. M. Paripour, "Nuemrical solution for a system of fuzzy nonlinear equations", J. Fuzzy Set Valued Anal, 2014, pp.1~10 (2014)
  5. F. Rogers, "Fuzzy nonlinear optimization for the linear fuzzy real number system", Internat. Math. Forum, 4, pp.587~596 (2009)
  6. G.K. Saha, "A new approach to solve fuzzy non-linear equations using fixed point iteration algorithm", J. Bangladesh Math. Soc, 32, pp.15~21 (2012)
  7. G.K. Saha, "Solution of fuzzy non-linear equation using bisection algorithm", Dhaka Univ. J. Sci, 61, pp.53~58 (2013)
  8. L.S. Senthilkumar, "Solving fuzzy nonlinear equation using harmonic mean method", Internat. J. Sci. Engineering Research, 6, pp.229~232 (2015)
  9. J. Shokri, "Numerical method for solving fuzzy nonlinear equations", Appl. Math. Sci, 2, pp.1191~1203 (2008)
  10. M.Y. Waziri, "A new approach for solving dual fuzzy nonlinear equations using Broyden's and Newton's methods", Advances in Fuzzy Systems, 2012, pp.1~5 (2012)
  11. L.A. Zadeh, "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

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