On novel classes of iterative methods for solving nonlinear equations |
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Authors: | Fazlollah Soleymani B S Mousavi |
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Institution: | 1.Department of Mathematics,Islamic Azad University, Zahedan Branch,Zahedan,Iran;2.Young Researchers Club,Islamic Azad University, Zahedan Branch,Zahedan,Iran |
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Abstract: | In this paper, we establish two new classes of derivative-involved methods for solving single valued nonlinear equations of
the form f(x) = 0. The first contributed two-step class includes two evaluations of the function and one of its first derivative where
its error analysis shows a fourth-order convergence. Next, we construct a three-step high-order class of methods including
four evaluations per full cycle to achieve the seventh-order of convergence. Numerical examples are included to re-verify
the theoretical results and moreover put on show the efficiency of the new methods from our classes. |
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Keywords: | |
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