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

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorIqbal, Javed
dc.contributor.authorArif, Muhammad
dc.contributor.authorKhan, Alamgir
dc.contributor.authorGasimov, Yusif S.
dc.contributor.authorChinram, Ronnason
dc.date.accessioned2021-04-03T14:46:21Z
dc.date.available2021-04-03T14:46:21Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis work has been supported by the grant provided by Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand.en_US
dc.identifier.citationSrivastava, 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.en_US
dc.identifier.urihttps://doi.org/10.3390/sym13030432
dc.identifier.urihttp://hdl.handle.net/1828/12819
dc.language.isoenen_US
dc.publisherSymmetryen_US
dc.subjectnonlinear equations
dc.subjectgauss quadrature formula
dc.subjectordinary differential equation (ODE)
dc.subjecterror equations
dc.subjectsixth-order convergence
dc.subjectnumerical examples
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA New Application of Gauss Quadrature Method for Solving Systems of Nonlinear Equationsen_US
dc.typeArticleen_US

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