A new fourth-order family for solving nonlinear problems and its dynamics

被引：18

作者：

Cordero, Alicia ^{[1
]}

Feng, Licheng ^{[2
]}

Magrenan, Alberto ^{[3
]}

Torregrosa, Juan R. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, E-46022 Valencia, Spain

[2] Northwestern Polytech Univ, Xian 710072, Shaanxi Provinc, Peoples R China

[3] Univ Int La Rioja, Dept Ordenac Acad, Logrono 26002, Spain

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2015年 / 53卷 / 03期

关键词：

Nonlinear systems; Iterative methods; Complex dynamics; Parameter space; Basins of attraction; Stability; COSMO-RS; ITERATIVE METHODS; SCREENING MODEL; REAL SOLVENTS; EQUATIONS; PREDICTION;

D O I：

10.1007/s10910-014-0464-4

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

In this manuscript, a new parametric class of iterative methods for solving nonlinear systems of equations is proposed. Its fourth-order of convergence is proved and a dynamical analysis on low-degree polynomials is made in order to choose those elements of the family with better conditions of stability. These results are checked by solving the nonlinear system that arises from the partial differential equation of molecular interaction.

引用

页码：893 / 910

页数：18

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