A New Application of Gauss Quadrature Method for Solving Systems of Nonlinear Equations

Date

2021

Authors

Srivastava, H.M.
Iqbal, Javed
Arif, Muhammad
Khan, Alamgir
Gasimov, Yusif S.
Chinram, Ronnason

Journal Title

Journal ISSN

Volume Title

Publisher

Symmetry

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 n=3). 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.

Description

Keywords

nonlinear equations, gauss quadrature formula, ordinary differential equation (ODE), error equations, sixth-order convergence, numerical examples

Citation

Srivastava, H. M., Iqbal, J., Arif, M., Khan, A., Gasimov, Y. S., & Chinram, R. (2021). A New Application of Gauss Quadrature Method for Solving Systems of Nonlinear Equations. Symmetry, 13(3), 1-12. https://doi.org/10.3390/sym13030432.