期刊
ALEXANDRIA ENGINEERING JOURNAL
卷 59, 期 3, 页码 1629-1636出版社
ELSEVIER
DOI: 10.1016/j.aej.2020.04.009
关键词
Distinct roots; Non-linear equation; Iterative methods; Simultaneous method; Derivative free method; Computational efficiency
In this article, we present a new derivative free simultaneous method for determining in particular all the distinct roots of polynomial equation. A modification in Weierstrass correction is used to construct tenth order derivative free simultaneous method, using only four function evaluation per cycle. Convergence analysis proved that the order of convergence of derivative free simultaneous method is ten and has a better computational efficiency as compared to other simultaneous methods in the literature. Numerical test examples are provided to demonstrate the performance and efficiency of the newly constructed derivative free simultaneous method. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
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