[PDF] Top 20 New Eighth Order Derivative Free Methods for Solving Nonlinear Equations

... iteration methods, without memory based on n evaluations, could achieve optimal convergence order 2 n−1 ...present new derivative-free methods which agree with the Kung and Traub ... See full document

... of derivative-involved methods in which at least one derivative evaluation is needed to proceed; see, ...and derivative-free methods do not have a direct derivative ... See full document

... type methods have been developed by using the Taylor series, decomposition and quadrature formulae (see [1-14] and the references there- ...for solving the nonlinear ...iterative methods. In ... See full document

... In this section we state the recently introduced fourth-order Simpson-type method to find simple root of a nonlinear equation. The improvement of the classical Simpson method was made by introducing a ... See full document

... Theorem 1: let be the scalar function sufficiently smooth in the real open domain D, and r is a simple zero of .If is sufficiently close to r , then the method defined by (Algorithm 1.5) has six- order ... See full document

... iterative methods free derivative for solving a nonlinear equation is a method proposed by Dehghan-Hajarian can be call as Dehghan Method (DM), with order of convergence three ... See full document

... Nonlinear equations plays an important role in science and ...numerical methods are used in such ...for solving nonlinear equations. To improve the local order of ... See full document

... optimal free derivative without memory methods proposed by Cordero et ...optimal derivative free iterative methods for nonlinear equations by using polynomial ... See full document

... Al-Goria, Solving nonlinear equations using a new tenth- and seventh- order methods free from second derivative, International Journal of Differential ... See full document

... approximate methods to solve such algebraic and transcendental ...of nonlinear equations are difficult to solve in ...these equations is by iterative methods. One of the classical ... See full document

... convergence order of the iterative method in equation (3) is higher than that of the Newton method, its efficiency index is lower because of the involvement of six function evaluation per ...iterative ... See full document

... multipoint methods for solving nonlinear equations: a survey,” Applicable Analysis and Discrete Mathematics, ...Algebraic Equations, John Wiley & Sons, New York, NY, USA, ... See full document

... for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by Khalil, ...A ... See full document

... iterative methods by using a new quadrature rule based on spline ...implicit-type methods. To implement these methods, we use Newton’s and Halley’s method as a predictor and then use these ... See full document

... block methods which make used of the first and second derivatives of the ...for solving first order ordinary differential ...The methods are then used to solve a set of first order ... See full document

... In the section 2 of this paper, we develop an iterative method for solving (1.1) and its convergence criteria is discussed. And also, few variants are derived from this new method in the same section. ... See full document

... non-linear equations of the general form f (x) = 0. Such equations appear in real world situations frequently while there is no closed form solution for ...of equations draw much attention to itself ... See full document

... first order derivative of the function f (x) is unavailable or is expensive to compute, the Newtons method is still restricted in practical ...In order to avoid computing the first order ... See full document

... Abstract. In this paper, we present two new families of third- order and fourth-order methods for finding multiple roots of non- linear equations. Each of them requires one evaluation ... See full document

... Where f D R : ⊂ → R is a scalar function on an open interval D and f (x) may be algebraic, transcendental or combined of both. The most widely used algorithm for solving (1.1) by the use of value of the function ... See full document