[PDF] Top 20 Iterative Methods of Order Four for Solving Nonlinear Equations

... 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

... weight iterative methods for solving nonlinear equations and also its cubic ...convergence. Nonlinear equation is the fundamentals inengineering, computer science and other many ... See full document

... fourth-order iterative methods for simple roots for solving nonlinear ...our methods by comparing them with some well existing third and fourth-order iterative ... See full document

... new iterative methods of order four and five by using modified homotopy perturbation ...iterative methods. To assess the validity and performance of these iterative ... See full document

... new iterative method for solving nonlinear ...these iterative methods, we show that the nonlinear function can be approximated by a new series which can be obtained by using the ... 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

... on nonlinear equation (x) = 0, it is noted that no or little attention is given to nonlinear ...of solving nonlinear equations. The work outlined four methods of ... See full document

... new iterative methods for solving nonlinear equations are presented using a new quadrature rule based on spline ...these methods have third-order ...these methods ... See full document

... based iterative methods with sixth, seventh and eight order of conver- gence for finding simple zeros of nonlinear ...three-step iterative methods consid- ered by Mir and Zaman ... 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 ...the ... 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

... A one-parameter 4-point sixteenth-order King-type family of iterative methods which satisfy the famous Kung-Traub conjecture is proposed. The convergence of the family is proved, and numerical ... See full document

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

... using iterative methods for nonlinear systems of equations, spe- cially for large systems arising from IE, ODE and ...space methods, soft computing based on wavelets and fuzzy concepts, ... See full document

... multi-step iterative methods with the improved convergence order, see [12], ...convergent iterative methods [29], ...sixth-order methods by weight func- tion ... See full document

... a nonlinear equation (1) is a one step iterative methods [1, 16], a two step iterative methods [4, 5, 7, 8, 12] and a three step iterative methods [2, 3, ...step ... 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

... In this section, the obtained theoretical results are confirmed by numerical experiments. Numerical test re- sults are presented for the third-order method by com- parison with famous iterative ... See full document

... an iterative algorithm free from second derivative for solving algebraic nonlinear ...this iterative algorithm has seventh-order ...the iterative algorithm is very effective and ... See full document

... nonlinear equations. A mis- take in Kim’s paper, [Y. Kim, New sixth-order improvements of the Jarratt method, Kyungpook ...local order six in which we have three evaluations of the function ... See full document