[PDF] Top 20 3. New iterative methods based on spline functions for solving nonlinear equations

... 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, decomposition and ... See full document

... quadrature based iterative methods for approximating the solution of nonlinear equations developed in Noor et ...the iterative methods at the cost of no additional ... 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

... the methods converge to another root (not the same as the root). Based on numerical computations in Table 1, in general for all functions after comparison show that the PFDM is superior to the ... See full document

... developing new iterative methods for the approximation of the solution of equation (1), the most important rule is to design iterative methods with improved convergence rate or ... See full document

... iteration methods, without memory based on n evaluations, could achieve optimal convergence order 2 n−1 ...present new derivative-free methods which agree with the Kung and Traub conjecture ... 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 methods ...possible ... See full document

... In this section we give some physical examples and compare our methods with other some well known methods. Here all the computations have been done by using Mathematica 8. We consider the number of decimal ... See full document

... the new method defined by (Algorithm 1.5) and other well known methods that are presented in ( Homeier (HM) [ 14], Chun (CM) [15] , Rostom (N1)[13]) and classical Newton ...different functions ... 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 methods in ...a ... 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

... groups: solving the NSDEs by using the runge-kutta methods [3] and the bluck pulse functions [7], but we use from the stochastic operational matrix based on properties of the NBFs ... See full document

... iterative methods have been used to solve nonlinear equations and systems of nonlinear ...Newton’s methods with cubic convergence have been proposed in some literature ... 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 ... See full document

... Predictor-Corrector Methods Based on Weight Combination of Quadrature’s for solving Nonlinear Equations, International Journal of Nonlinear Science, ... See full document

... 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

... in methods for solving linear ...optimal nonlinear solver or the one that we know ...of nonlinear equations generated by the discretization of the nonlinear partial differential ... See full document

... study, based on the optimal free derivative without memory methods proposed by Cordero et ...free iterative methods for nonlinear equations by using polynomial interpolation, ... See full document

... logarithmic functions are referred to as transcendental ...nonlinear equations. [5] It is well known that when the Jacobian of nonlinear systems is nonsingular in the neighborhood of the ... See full document

... quadrature 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 ... See full document