AN ITERATIVE METHOD WITH TWELFTH ORDER CONVERGENCE FOR SOLVING NON-LINEAR EQUATIONS

被引：0
|
作者：
Mylapalli, Mani Sandeep Kumar [1 ]
Palli, Rajesh Kumar [1 ]
Vatti, Veera Basava Kumar [2 ]
机构：
[1] GITAM Deemed Univ, Dept Math, Visakhapatnam 530045, Andhra Pradesh, India
[2] Andhra Univ, AU Coll Engn, Dept Engn Math, Visakhapatnam 530003, Andhra Pradesh, India
来源：
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2021年 / 20卷 / 08期
关键词：
Iterative method; Non-linear equation; Functional evolutions; Convergence Analysis;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to introduce a new twelfth order iterative method for solving nonlinear equations. Modification of Newton's method with higher-order convergence is presented. Analysis of convergence finalized that the order of convergence is 12. Some numerical examples illustrate that the algorithm is more efficient and performs better than classical Newton's method and other methods with the same order.
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页码：1633 / 1643
页数：11
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