Stability analysis of a parametric family of seventh-order iterative methods for solving nonlinear systems

New iterative methods with seventh-order convergence for solving nonlinear equations

In this paper, seventh-order iterative methods for the solution ofnonlinear equations are presented. The new iterative methods are developed byusing weight function method and using an approximation for the last derivative,which reduces the required number of functional evaluations per step. Severalexamples are given to illustrate the eciency and the performance of the newiterative methods.

Seventh-order iterative algorithm free from second derivative for solving algebraic nonlinear equations

Stability analysis of fractional-order nonlinear Systems via Lyapunov method

‎In this paper‎, ‎we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov‎ ‎method‎. ‎To examine the obtained results‎, ‎we employe the developed techniques on test examples‎.

seventh-order iterative algorithm free from second derivative for solving algebraic nonlinear equations

A family of composite fourth-order iterative methods for solving nonlinear equations

In this paper, we present a family of new fourth-order iterative methods for solving nonlinear equations. Per iteration the methods consisting of the family require only two evaluations of the function and one evaluation of its derivative. Several numerical examples are given to illustrate the efficiency and performance of some of the presented methods. 2006 Elsevier Inc. All rights reserved.