文献类型：期刊文献

英文题名：Third- and fifth-order Newton-Gauss methods for solving nonlinear equations with n variables

作者：Liu, Zhongli[1];Zheng, Quan[2];Huang, Chun-E[1]

第一作者：刘忠礼

通讯作者：Liu, ZL[1]

机构：[1]Beijing Union Univ, Coll Biochem Engn, Beijing 100023, Peoples R China;[2]North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China

第一机构：北京联合大学生物化学工程学院

通讯机构：[1]corresponding author), Beijing Union Univ, Coll Biochem Engn, Beijing 100023, Peoples R China.|[1141726]北京联合大学生物化学工程学院;[11417]北京联合大学;

年份：2016

卷号：290

起止页码：250-257

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20162602545333);Scopus(收录号：2-s2.0-84975883599);WOS:【SCI-EXPANDED(收录号:WOS:000380754900021)】；

基金：The authors express thanks to the Beijing Municipal Commission of Education for the financial support under the Science and Technology Program (no. KM201511417012 and KM201611417007).

语种：英文

外文关键词：Nonlinear equations; Gauss quadrature formula; Nonlinear ODEs; Finite difference method; Error equations; Fifth-order convergence

摘要：Based on the mean-value theorem of multivariable vectors function F(x), two new iterative schemes with third-order and fifth-order convergence are constructed respectively by using Gauss quadrature formula for solving systems of nonlinear equations. Their error equations and asymptotic numerical convergence constants are obtained. The two suggested methods are compared with the related methods for solving systems of nonlinear equations and boundary-value problems of nonlinear ODEs in the numerical examples to demonstrate the efficiency and practicality. (C) 2016 Elsevier Inc. All rights reserved.