文献类型：会议论文

英文题名：A Family Third-order Methods with One Parameter for Solving Systems of Nonlinear Equations and BVP-ODEs

作者：Liu, Zhong-Li[1];Zhang, Hong[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

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;

会议论文集：International Conference on Service Science, Technology and Engineering (SSTE)

会议日期：MAY 14-15, 2016

会议地点：Suzhou, PEOPLES R CHINA

语种：英文

外文关键词：Systems of Nonlinear Equations; Newton's Iterative Methods; Third-order Converge-nce; BVP-ODEs

摘要：Efficient numerical solutions for systems of nonlinear equations have always appealed greatly to people in scientific computation and engineering fields. And how to make the two iterative approximate values as precise as possible is an important issue in actual computation. In this paper, we use the linear-combination method to construct a family third-order scheme with one parameter for solving systems of nonlinear equations. Their cubic convergence and corresponding error equation are proved theoretically, and numerical examples are demonstrated as well to show the efficiency and feasibility of the suggested iterative methods.