[PDF] Top 20 New Fifth-order Simpson-type Method for Solving Nonlinear Equations

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

... a new family of eighth-order derivative-free ...the new methods preserve their order of ...higher order of convergence method than the existing derivative-free methods 6, ...the ... See full document

... of nonlinear equations are presented. The new iterative methods are developed by using weight function method and using an approx- imation for the last derivative, which reduces the required ... See full document

... Newton’s method is simple to implement and has a quadratic rate of convergence, still it requires the computation and storage of n n  Jacobian matrix and its inverse, and also requires solving systems of ... 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 ...iterative ... See full document

... Lax equations of fifth and seventh order are shown in Figures 1 and 3 ...seventh order equations are shown in Figures 2and 4 ... See full document

... This method is powerful, efficient, and it can be used as an alternative to establish new solutions of different types of fractional differential equations applied in mathematical ... See full document

... establish new higher order iteration schemes for solving nonlinear ...point method using taylor series on the functional equation x = g x ( ) of nonlinear equation f x ( ) = 0 ... See full document

... 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 ... See full document

... space method (RKHSM) is an analytical technique, which can overcome the difficulty at the singular point of non-homogeneous, linear singular initial value problems; especially when the singularity appears on the ... See full document

... We developed a set of numerical integration method in [4]. They have accuracy 1st-5th order. Among them, the simplest one is the 1st order PEC scheme. This scheme has very large stable region, so we ... See full document

... a new optimization technique for solving nonlinear systems of ...the method are inspired from soccer leagues and based on the competitions among teams and ...in solving nonlinear ... See full document

... transcendental equations, but yet there exist enormous difficulty due to local convergence of these methods that make the new research ...of nonlinear equations is realized by different ... See full document

... [1] K. I. Noor and M. Aslam Noor, “Predictor-Corrector Hal- ley Method for Nonlinear Equations,” Applied Mathema- tics and Computation, Vol. 188, No. 2, 2007, pp. 1587- 1591. ... See full document

... higher order methods. (FG) denotes fifth order method of Fang for Fang and ...denotes fifth order method of Noor and al. method (algorithm ...Ham’s method ... See full document

... third-order method by central difference quotient, we obtain a new modification of this method free from ...the method obtained preserves their order of convergence, without ... See full document

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

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

... Steffensen-type method with super-cubic convergence for solving nonli- near equations is ...Steffensen’s method twice with memory, but without any new function ...proposed ... See full document

... 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 ... See full document