Open AccessChord Newton’s Method for Solving Fuzzy Nonlinear Equations
Author(s) -
Aliyu Usman Moyi
Publication year - 2019
Publication title -
international journal of advanced mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2307-454X
DOI - 10.14419/ijams.v7i1.30098
Subject(s) - jacobian matrix and determinant , chord (peer to peer) , nonlinear system , fuzzy logic , mathematics , parametric equation , newton's method , parametric statistics , matrix (chemical analysis) , mathematical optimization , computer science , artificial intelligence , geometry , physics , distributed computing , statistics , materials science , quantum mechanics , composite material
In this paper, we present a new approach for solving fuzzy nonlinear equations. Our approach requires to compute the Jacobian matrix once throughout the iterations unlike some Newton’s-like methods which needs to compute the Jacobian matrix in every iterations. The fuzzy coefficients are presented in parametric form. Numerical results on well-known benchmarks fuzzy nonlinear equations are reported to authenticate the effectiveness and efficiency of the approach.