A new efficient parametric family of iterative methods for solving nonlinear systems

被引：3
|
作者：
Chicharro, Francisco, I [1 ]
Cordero, Alicia [2 ]
Garrido, Neus [2 ]
Torregrosa, Juan R. [2 ]
机构：
[1] Univ Int La Rioja, Escuela Super Ingn & Tecnol, Logrono, Spain
[2] Univ Politecn Valencia, Multidisciplinary Math Inst, Camino Vera S-N, E-46022 Valencia, Spain
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2019年 / 25卷 / 9-10期
关键词：
Nonlinear systems; iterative methods; order of convergence; divided difference operator; efficiency index; CONVERGENCE; ORDER;
D O I：
10.1080/10236198.2019.1665653
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational efficiency indices are studied for this family and compared with that of the other known schemes with similar structure. In the numerical section, we solve, after discretizating, the nonlinear boundary problem described by the Fisher's equation. This numerical example confirms the theoretical results and show the performance of the proposed schemes.
引用
收藏
页码：1454 / 1467
页数：14
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