%0 Journal Article
%T A New Newton-Type Method with Third-Order for Solving Systems of Nonlinear Equations
%A Zhongli Liu
%A Quanyou Fang
%J Journal of Applied Mathematics and Physics
%P 1256-1261
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.310154
%X In this paper, a new two-step Newton-type method with third-order convergence for solving systems of nonlinear equations is proposed. We construct the new method based on the integral interpolation of Newton¡¯s method. Its cubic convergence and error equation are proved theoretically, and demonstrated numerically. Its application to systems of nonlinear equations and boundary-value problems of nonlinear ODEs are shown as well in the numerical examples.
%K Newton-Type Method
%K Systems of Nonlinear Equations
%K Third-Order Convergence
%K Integral Interpolation
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=60679