[PDF] Top 20 Comparison of Some Iterative Methods of Solving Nonlinear Equations

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

... for solving nonlinear equations by using Steffensen’s ...method. Some examples are also discussed. These new methods can be viewed as significant modification and improvement of the ... 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

... Recently, some methods have been proposed and analyzed for solving nonlinear equations [1, 2, 4, 6, 7, ...These methods have been suggested by using quadrature formulas, ... See full document

... 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

... proposed some two-stepweight iterative methods based on series expansion of nonlinear ...the methods are of order three convergences. The methods and their algorithms are in ... 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

... the methods with the highest computational order of ...our methods with other optimal sixteenth order ...more nonlinear functions and find the best member based on the highest number of successful ... See full document

... use iterative methods such as Newton’s method [1,2] and its variants namely, Halley’s method [1-6], Chebyshev’s method [1-6], Chebyshev-Halley type methods [6] ...these methods require the ... See full document

... 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 iterative method in equation ... See full document

... (1.2) (n = 0, 1, 2, 3 ………) Many iterative methods have been developed see [1-13] for solving the equation (1.1) by using several techniques including perturbation methods and quadrature ... See full document

... seventh-order iterative methods for the solution of nonlinear equations are ...new iterative methods are developed by using weight function method and using an approx- imation ... 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

... fifth-order iterative methods to find a simple root of the nonlinear ...solve nonlinear equations have many applications in Mathematics and applied ...Simpson-type iterative ... See full document

... the methods converge to another root (not the same as the ...after comparison show that the PFDM is superior to the iteration methods such as DM, HM, and ...or solving a nonlinear ... See full document

... for solving nonlinear ...solved some nonlinear equations to show the performance and efficiency of our newly developed iteration ...From comparison table, we conclude that these ... See full document

... represents comparison between the new method defined by (Algorithm ...known methods that are presented in ( Homeier (HM) [ 14], Chun (CM) [15] , Rostom (N1)[13]) and classical Newton ... See full document

... new methods that are iterative based, is to develop methods that can attain optimal convergence requiring few number of functions and derivatives evaluations in an iteration ...based iterative ... See full document

... In this paper, we propose two algorithms. We will show that Algorithm () is more ac- curate than Algorithm () pointed out in []. Also, Algorithm () needs less operation in comparison with Algorithm (). The ... See full document

... higher-order iterative methods. The conver- gence order of these methods is fifteen, and consist of four evaluations of the function and one evaluation of its first derivative per iteration, so they ... See full document