[PDF] Top 20 An Efficient Optimal Eighth order Iterative Method for Solving Nonlinear Equations

... is optimal with ...build iterative methods of optimal higher order of ...new eighth-order iterative method to find a simple root α of the nonlinear equation f ... See full document

... modify Mir and Zaman [13], Milovannović and Cvet- ković [14] three-step iterative methods. Now a reasona- bly close starting value x 0 is not required for these methods to converge. This condition, however applies ... See full document

... We observe that the 16th FGK1 and 16th FGK2 family of IFs require two parameters and an analytic function. Therefore, we develop a simplified one-parameter optimal 4-point sixteenth-order King-type family ... See full document

... In order to avoid these complications, decomposition method [2] was introduced, which is an exceptionally effective and powerful method for solving linear and nonlinear problems in ... See full document

... an efficient new procedure is proposed to modify third –order iterative method obtained by Rostom and Fuad ...–order iterative method for solving nonlinear ... See full document

... for solving linear systems. Krylov subspace method is the result of the huge effort by the re- searchers during the last ...exists optimal linear solvers [5]. But, still there is no optimal ... See full document

... point method for solving nonlinear ...convergence order two and three. We have solved some nonlinear equations to show the performance and efficiency of our newly developed ... See full document

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

... solve nonlinear equations and systems of nonlinear ...In order to improve the order of convergence, a few two-step variants of Newton’s methods with cubic convergence have been proposed ... See full document

... of nonlinear equations are difficult to solve in ...these equations is by iterative ...of nonlinear equations is Newton method which has second order rate of ...of ... See full document

... for solving the nonlinear ...the order of convergence of this algorithm, which is P = ...the iterative algorithm that was introduced in this paper performs better than Newton’s algorithm, ... 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 ... See full document

... when solving it, regardless of the size of the ...only equations (N -1) are solved and the formulation, as well as the solution is not very ...fourteenth order that were adapted to compare their ... See full document

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

... derivative-free method and give the convergence ...third-order iterative method for solving nonlinear ...this method we approximate the derivative of the function by ... See full document

... orders method of Hu et ...higher- order multi-step iterative methods for solving nonlinear equations, as well as a system of nonlinear ... See full document

... fifth-order iterative method to find a simple root of the nonlinear ...solve nonlinear equations have many applications in science and ...Newton method and the classical ... See full document

... New Iterative Method (NIM), developed by DaftardarGejji and Jafari [17], to solve generalized Korteweg-de Vries equations of fifth and seventh orders [18, ...and nonlinear equations of ... See full document

... third-order iterative method for solving nonlinear equations for simple roots by using inverse function ...of optimal fourth-order methods by using one function and ... See full document

... of eighth-order derivative-free ...their order of convergence. There are two major advantages of the eighth-order derivative-free ...higher order of convergence method ... See full document