Article citationsMore>>

Noor, M.A. and Wasteem, M. (2009) Some Iterative Methods for Solving a System of Nonlinear Equations. Computers and Mathematics with Applications, 57, 101-106.
https://doi.org/10.1016/j.camwa.2008.10.067

has been cited by the following article:

• TITLE: Gauss-Legendre Iterative Methods and Their Applications on Nonlinear Systems and BVP-ODEs

  AUTHORS: Zhongli Liu, Guoqing Sun

  KEYWORDS: Iterative Method, Gauss-Legendre Quadrature Formula, Nonlinear Systems, Third-Order Convergence, Nonlinear ODEs

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.11, November 18, 2016

  ABSTRACT: In this paper, a group of Gauss-Legendre iterative methods with cubic convergence for solving nonlinear systems are proposed. We construct the iterative schemes based on Gauss-Legendre quadrature formula. The cubic convergence and error equation are proved theoretically, and demonstrated numerically. Several numerical examples for solving the system of nonlinear equations and boundary-value problems of nonlinear ordinary differential equations (ODEs) are provided to illustrate the efficiency and performance of the suggested iterative methods.