Article ID Journal Published Year Pages File Type
4636003 Applied Mathematics and Computation 2007 8 Pages PDF
Abstract

Two super cubic convergence methods to solve systems of nonlinear equations are presented. The first method is based on the Adomian decomposition method. We state and prove a theorem which shows the cubic convergence for this method. But numerical examples show super cubic convergence. The second method is based on a quadrature formulae to obtain the inverse of Jacobian matrix. Numerical examples show high order convergence for both methods.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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