[PDF] Top 20 New Fourth and Fifth Order Iterative Methods for Solving Nonlinear Equations

... two new iterative methods of order four and five for the solution of nonlinear equations based on homotopy perturbation ...these iterative methods to solve some ... See full document

... several iterative type methods have been developed by using the Taylor series, decomposition and quadrature formulae (see [1-14] and the references there- ...predictor-corrector iterative type Halley ... See full document

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

... of iterative methods for approximating solutions of nonlinear of equations have been ...These methods are developed via diverse techniques such as Taylor’s series and homotopy {Chun ... See full document

... an iterative method to find a simple root α of the nonlinear equation 𝑓𝑓(𝛼𝛼) = 0, where 𝑓𝑓 ∶ 𝐼𝐼 ⊆ 𝑅𝑅 → 𝑅𝑅 is a scalar function on an open interval 𝐼𝐼 and we consider that𝑓𝑓′( α ) ≠ ...best iterative ... See full document

... an iterative method for solving nonlinear equations of the type f(x) = 0 having eighteenth order ...This new technique based on Newton’s method and extrapolated Newton’s ... See full document

... a new two-parameters family of iterative methods for solving non-linear equations and prove that the order of convergence of these methods is at least ...these new ... See full document

... a new eighth-order convergent method for solving non-linear ...our new method is eighth-order convergent which is also supported by the numerical ...This iterative method require ... See full document

... In this section, we present some examples to illustrate the efficiency of our proposed methods which are given by the Algorithm 3.1, 3.2 and 3.3 We compare the performance of these Algorithms with that of Newton ... See full document

... fifth order (gfKdV) and seventh order (gsKdV) has various applications in Sciences and ...a New Iterative Method (NIM) is being proposed to obtain the solution of several forms of the gfKdV and ... See full document

... non-linear equations and stated a number of methods to find the roots of such equations and also we discussed the procedure of convergent of some iterative ...five methods, we conclude ... See full document

... for solving nonlinear equations. We have established two new algori- thems of convergence order two and ...some nonlinear equations to show the performance and efficiency ... See full document

... of iterative methods with higher convergence order (more than three) by the composition of Latus and some other different ...present iterative formulas defined by ...their order of ... See full document

... predictor-corrector iterative methods for finding simple zeros of univariate nonlinear equations, permitting f x     0 near the ...our methods is that they perform better and ... See full document

... A new family of eighth-order derivative-free methods for solving nonlinear equations is ...these methods have the convergence order of eight. These new ... See full document

... step 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 and ... See full document

... Abstract In the present paper, by approximating the derivatives in the Newton-Steffensen third-order method by central difference quotient, we obtain a new modification of this method free from derivatives. We ... 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 ... See full document

... two 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 ... See full document

... a new scheme to find simple root of a nonlinear equation. In order to increase the order of convergence of the classical Simpson method and the fourth-order Simpson-type method, ... See full document