[PDF] Top 20 A Novel Iterative Method for Nonlinear Equations

... of nonlinear equations which is a little bit expensive in actual ...the iterative error function is extrapolated to zero for the Steffensen acceleration method, a novel acceleration ... 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

... an iterative technique is proposed to solve linear integrated active/passive design ...the nonlinear algebraic Riccati equation due to the active parameters and some associated additional Lyapunov ... See full document

... new iterative method for solving nonlinear ...these iterative methods, we show that the nonlinear function can be approximated by a new series which can be obtained by using the ... See full document

... of iterative methods have been developed for finding out the solution of single variable nonlinear equations as well for the solution of a system of nonlinear ... See full document

... Newton-type method with third-order convergence for nonlinear equa- tion and ...convergence iterative method based on Adomian decomposition method to the systems of nonlinear ... See full document

... Many numerical methods for nonlinear equations are known as iterative methods: bisection, regula falsi, Newton’s method also called as the Newton-Raphson method, Steffensen’s method, Bre[r] ... See full document

... of nonlinear fractional q-difference equations with integral boundary ...monotone iterative method and some inequalities associated with the Green’s function, the existence results of positive ... See full document

... convergent method for solving non-linear ...new method is eighth-order convergent which is also supported by the numerical ...This iterative method require evaluation of three functions and ... 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

... The variational iteration formula makes a recurrence sequence {u n (x, t)}. Ob- viously, the limit of the sequence will be the solution of Eq. (1) if the sequence is convergent. In this section, we give a new proof of ... See full document

... [1]. Soheili A. R., Ahmadian S. A. &Naghipoor J. (2008). A Family of Predictor-Corrector Methods Based on Weight Combination of Quadrature’s for solving Nonlinear Equations, International Journal of ... 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 method is ... See full document

... a method which contains an auxiliary operator, defined in an Hilbert space in terms of K and F which, under certain conditions, is monotone whenever K and F are, and whose zeros are solu- tions of equation ... See full document

... ical iterative method for approximating the so- lution of fuzzy integral equations based on opti- mal fuzzy quadrature formula for classes of Lip- schitzian functions is ... See full document

... which is quadratically convergent in the open interval 𝐼𝐼 that contains the exact root α. Liu et. al. [1, 3, 4, 9, 13] have worked on Ostrowski’s method [15] and they improved it. Ostrowski’s method with ... See full document

... the nonlinear equation f x ( ) = 0 (or x = g x ( ) ) has simple root α ∈ I , where g x ( ) : I ⊂  →  be sufficiently smooth in the neighbourhood of the root α ... 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] ...Newton’s method. The ... See full document

... the nonlinear HSS-like iterative method is proposed to solve the absolute value equation (AVE), which is based on two aspects: the first is the separable property of the linear term Ax and ... See full document

... Let | ( )| < be the stopping criteria for computer programs , where ε . All numerical computations are worked out in matlab 7.8 . Table(2) represents comparison between the new method defined by (Algorithm 1.5) ... See full document