Article ID Journal Published Year Pages File Type
4625623 Applied Mathematics and Computation 2016 8 Pages PDF
Abstract

Based on the mean-value theorem of multivariable vectors function F(x), two new iterative schemes with third-order and fifth-order convergence are constructed respectively by using Gauss quadrature formula for solving systems of nonlinear equations. Their error equations and asymptotic numerical convergence constants are obtained. The two suggested methods are compared with the related methods for solving systems of nonlinear equations and boundary-value problems of nonlinear ODEs in the numerical examples to demonstrate the efficiency and practicality.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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