Symmetry 2021, 13(3), 432; https://doi.org/10.3390/sym13030432 (registering DOI) - 07 Mar 2021
Abstract
In this paper, we introduce a new three-step Newton method for solving a system of nonlinear equations. This new method based on Gauss quadrature rule has sixth order of convergence (with ). The proposed method solves nonlinear boundary-value problems and
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In this paper, we introduce a new three-step Newton method for solving a system of nonlinear equations. This new method based on Gauss quadrature rule has sixth order of convergence (with ). The proposed method solves nonlinear boundary-value problems and integral equations in few iterations with good accuracy. Numerical comparison shows that the new method is remarkably effective for solving systems of nonlinear equations.
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(This article belongs to the Special Issue Symmetry in Numerical Analysis and Numerical Methods)