Self-accelerating two-step Steffensen-type methods with memory and their applications on the solution of nonlinear BVPs

摘要：

　　In this paper,seven self-accelerating iterative methods with memory are derived from an optimal two-step Steffensen-type method without memory for solving nonlinear equations,their orders of convergence are proved to be increased from 4 to 2+√6,(5+√17)/2,5 and(5+√33)/2,numerical examples are demonstrat-ed demonstrated to verify the theoretical results,and applications for solving systems of nonlinear equations and BVPs of nonlinear ODEs are illustrated.

关键词： Nonlinear equation Newtons method Steffensen-type method Derivative free Super convergence

作者: Quan Zheng Xiuhui Guo Fengxi Huang

作者单位: College of Sciences, North China University of Technology, Beijing 100144, China

会议类型: 国际会议

会议名称: 2012年国际工程应用数学研讨会

会议地点: 北京

会议语种:英文

页码: 70-73

在线出版日期: 2012-10-26（万方平台首次上网日期，不代表论文的发表时间）