[PDF] Top 20 Some new two step iterative methods for solving nonlinear equations using Steffensen’s method

... for solving numerically the problems of continuous ...business. New two step it- erative methods for finding the approximate solutions of the nonlinear equation f (x) = 0 ... See full document

... one-step Steffensen-type method with super-cubic convergence for solving nonli- near equations is ...Steffensen’s method twice with memory, but without any new function ... See full document

... The nonlinear equations, often arise from the numerical modeling of problems in many branches of science and engineering ...These equations more often are not solved analytically hence resort to ... See full document

... multi-step iterative methods with the improved convergence order, see [12], ...developed some higher-order convergent iterative methods [29], ...sixth-order methods by ... See full document

... invariants. New algorithm for the numerical solutions of nonlinear third-order differential equations was used jacobi-gauss collocation method in [5], He’s var- iational iteration ... See full document

... type iterative method to solve ( ) = 0 by using a method consists of Regula-Falsi (R-F) and Newton-Raphson ...the new predictor correction method was for better than the ... See full document

... the nonlinear equation f x ( ) = 0 (or x = g x ( ) ) has simple root α ∈ I , where g x ( ) : I ⊂  →  be sufficiently smooth in the neighborhood of the root α ...the two-step iterative ... See full document

... developing iterative methods for ap- proximating zero(s) of a given nonlinear equation falls within this matter, and many studies have been devoted to it [9, ...up two adaptive ... See full document

... gent method due to Hasnov et al. [11]. This method will not fail like existing methods if f x    is very small or even zero in the vicinity of the ...This method re- quires one evaluation ... See full document

... different methods were developed by number of researchers for the computation the root of the nonlinear equations , these numerical methods have been suggested using Taylor series , ... See full document

... iterative methods have been used to solve nonlinear equations and systems of nonlinear ...few two-step variants of Newton’s methods with cubic convergence have been ... See full document

... Abstract Solving nonlinear equations is one of the most important problems in numerical analysis, and has a wide range of application in various aspects, as well as many branches of science, ... See full document

... memory methods proposed by Cordero et ...free iterative methods for nonlinear equations by using polynomial interpolation, Mathematical and Computer ...develop two ... See full document

... Hafiz, New two-step predictor-corrector method with ninth order convergence for solving nonlinear equations, Journal of Advances in Mathematics ,2, 432-437, ... See full document

... for solving a system of nonlinear equations, by using Newton’s method, is ...of iterative methods can be constructed by using a different kind of ... See full document

... differential equations, alge- braic equations, optimization algorithms and so ...efficient methods to evaluate the roots or approximate solution of the nonlinear ...many methods have ... See full document

... our new iterative methods to the following two examples, and have chosen Newton’s method and Kou’s method named NNM and NJM which are defined in [ 13 ] to compare with our ... See full document

... a new two step iterative methods free derivative to solve a nonlinear ...The new iterative method free derivative has four order of convergence and four ... See full document

... variable nonlinear equation (1) efficiently, is an interesting very old problem in numerical analysis and has many applications in applied ...many iterative methods for solving ... See full document

... of nonlinear equations is a common scientific activity capable of answering questions about real-word ...several iterative methods for solving nonlinear ...and ... See full document