Srivastava, H.M.Iqbal, JavedArif, MuhammadKhan, AlamgirGasimov, Yusif S.Chinram, Ronnason2021-04-032021-04-0320212021Srivastava, 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.https://doi.org/10.3390/sym13030432http://hdl.handle.net/1828/12819In 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.ennonlinear equationsgauss quadrature formulaordinary differential equation (ODE)error equationssixth-order convergencenumerical examplesArticleDepartment of Mathematics and Statistics