An iterative procedure for solving nonlinear equations in a Banach space

An Iterative Method for Solving Fuzzy Nonlinear Equations in Banach Spaces

In this paper, we suggest and analyze a new two-step iterative method for solving nonlinear fuzzy equations using the Trapezoidal quadrature rule. We prove that this method has quadratic convergence. The fuzzy quantities are presented in parametric form. Sever examples are given to illustrate the efficiency of the proposed method. Mathematics Subject Classification: 03E72; 37C25

AN ITERATIVE METHOD WITH SIX-ORDER CONVERGENCE FOR SOLVING NONLINEAR EQUATIONS

Modification of Newtons method with higher-order convergence is presented. The modification of Newtons method is based on Frontinis three-order method. The new method requires two-step per iteration. Analysis of convergence demonstrates that the order of convergence is 6. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newtons method and ...

A three-step iterative scheme for solving nonlinear φ-strongly accretive operator equations in Banach spaces

A Three-Point Iterative Method for Solving Nonlinear Equations with High Efficiency Index

In this paper, we proposed a three-point iterative method for finding the simple roots of non- linear equations via mid-point and interpolation approach. The method requires one evaluation of the derivative and three(3) functions evaluation with efficiency index of 81/4 ≈ 1.682. Numerical results reported here, between the proposed method with some other existing methods shows that our method i...

Solving Fuzzy Nonlinear Equations in Banach Spaces

In this paper, we suggest and analyze a new two-step iterative method for solving nonlinear fuzzy equations using the Midpoint quadrature rule. The fuzzy quantities are presented in parametric form. Sever examples are given to illustrate the efficiency of the proposed method. Mathematics Subject Classification: 03E72; 37C25