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This study suggests new iterative methods, based on the conventional Newton’s method, to obtain the numerical solutions of nonlinear equations. We prove that our methods include five and ten orders of
convergence. Also, the convergence behavior and comparison with an
existing results of the proposed schemes are investigated. Numerical experiments demonstrate that the proposed schemes are able to attain up to
the better accuracy than some classical methods, while still significantly
reducing the total number of calculations and iterations.
Kazem Nouri, Hassan Ranjbar, Leila Torkzadeh. (2019) Two High Order Iterative Methods for Roots of Nonlinear Equations, Punjab University Journal of Mathematics, Volume 51, Issue 3.
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