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New Efficient Fourth Order Method for Solving Nonlinear Equations

In a paper [Appl. Math. Comput., 188 (2) (2007) 1587--1591], authors have suggested and analyzed a method for solving nonlinear equations. In the present work, we modified this method by using the finite difference scheme, which has a quintic convergence. We have compared this modified Halley method with some other iterative of fifth-orders convergence methods, which shows that this new method having convergence of fourth order, is efficient.



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Keywords: Iterative methods, Convergence Order, Halley method, Jarratt method, Numerical Examples

ISSN: 2350-7756

EISSN: 2350-8442


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