Work

Some modifications and extensions of Popovski’s and Laguerre’s families for solving systems of nonlinear equations

Year: 2024

Type: article

Abstract: Two modifications of Popovski’s and Laguerre’s families of methods are developed, which free of second derivatives. The improved modifications have fourth-order of convergence. Moreover, we propose the extensions of modifications to solve nonlinear systems. The convergence order of two and three-step iterations equal to four, six and seven respectively. The numerical results confirm the order of convergence. In addition, we investigate the basin of attraction of the methods and its dependence on the convergence behavior. The comparison is made based on the performance on examples of nonlinear problems and the CPU time.

Source: Mongolian Mathematical Journal

DOI: 10.5564/mmj.v27i25.4013

Authors: Tugal Zhanlav, Khuder Otgondorj

Institutions: Mongolian Academy of Sciences, Mongolian University of Science and Technology

Language: English

Topic: Iterative Methods for Nonlinear Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4409343552

FWCI: 0.395

Cites: 22

Cited by: 1

Related to: 10