Title: Further Acceleration of Thukral Third-Order Method for Determining Multiple Zeros of Nonlinear Equations
Abstract: A new fourth-order iterative method for finding zeros of nonlinear equations is introduced. In terms of computational cost the new iterative method requires four evaluations of functions per iteration. It is shown and proved that the new method has a convergence of order four. We examine the effectiveness of the new fourth-order method by approximating the multiple roots of several nonlinear equations. Numerical examples are given to demonstrate exceptional convergence speed of the proposed method.
Publication Year: 2017
Publication Date: 2017-01-01
Language: en
Type: article
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