Convergence and Dynamics of a Higher-Order Method
نویسندگان
چکیده
منابع مشابه
The Method of Generalized Quasilinearization and Higher Order of Convergence for Second-Order Boundary Value Problems
The generalized quasilinearization method for second-order boundary value problem has been extended when the forcing function is the sum of two functions without require that any of the two functions involved to be 2-hyperconvex or 2-hyperconcave. Two sequences are developed under suitable conditions which converge to the unique solution of the boundary value problem. Furthermore, the convergen...
متن کاملOn the convergence of a higher order family of methods and its dynamics
where F is a differentiable function defined on a convex subset D of S with values in S, where S is R or C. using Mathematical Modelling. Except in special cases, the solutions of these equations can be found in closed form. This is the main reason why the most commonly used solution methods are usually iterative. In this work, we study the local convergence and the dynamics of the following op...
متن کاملHigher order game dynamics
Continuous-time dynamics for games are typically first order systems where payoffs determine the growth rate of the players’ strategy shares. In this paper, we investigate what happens beyond first order by viewing payoffs as higher order forces of change, specifying e.g. the acceleration of the players’ evolution instead of its velocity (a viewpoint which emerges naturally when it comes to agg...
متن کاملA new optimal method of fourth-order convergence for solving nonlinear equations
In this paper, we present a fourth order method for computing simple roots of nonlinear equations by using suitable Taylor and weight function approximation. The method is based on Weerakoon-Fernando method [S. Weerakoon, G.I. Fernando, A variant of Newton's method with third-order convergence, Appl. Math. Lett. 17 (2000) 87-93]. The method is optimal, as it needs three evaluations per iterate,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry
سال: 2020
ISSN: 2073-8994
DOI: 10.3390/sym12030420