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.