Third- and fifth-order Newton-Gauss methods for solving nonlinear equations with \(n\) variables

DOI10.1016/j.amc.2016.06.010zbMath1410.65189OpenAlexW2488231179MaRDI QIDQ1733697

Zhongli Liu, Chun-E Huang, Quan Zheng

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.06.010

zbMATH Keywords

finite difference methodnonlinear equationsGauss quadrature formulanonlinear odeserror equationsfifth-order convergence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items

Ball convergence of the Newton-Gauss method in Banach space ⋮ SIMPLE AND EFFICIENT FIFTH ORDER SOLVERS FOR SYSTEMS OF NONLINEAR PROBLEMS ⋮ Simple yet highly efficient numerical techniques for systems of nonlinear equations

Cites Work

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• A fourth-order method from quadrature formulae to solve systems of nonlinear equations
• Variants of Newton's method using fifth-order quadrature formulas
• Single step formulas and multi-step formulas of the integration method for solving the initial value problem of ordinary differential equation
• Some iterative methods for solving a system of nonlinear equations
• Solving Nonlinear Equations with Newton's Method

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