2019
DOI: 10.3390/math7010055
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Abstract: In this paper, a few single-step iterative methods, including classical Newton’s method and Halley’s method, are suggested by applying [ 1 , n ] -order Padé approximation of function for finding the roots of nonlinear equations at first. In order to avoid the operation of high-order derivatives of function, we modify the presented methods with fourth-order convergence by using the approximants of the second derivative and third derivative, respectively. Thus, several modified two-step iterative methods … Show more

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Cited by 2 publications
(1 citation statement)
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“…Praks and Brkić [24] recently showed a Newton-Raphson iterative solution of the Colebrook equation based on Padé approximants [25][26][27][28][29]. Based on their solution, one simplified approach and a novel starting point that significantly reduces numerical error will be offered herein.…”
Section: 51mentioning
confidence: 99%
“…Praks and Brkić [24] recently showed a Newton-Raphson iterative solution of the Colebrook equation based on Padé approximants [25][26][27][28][29]. Based on their solution, one simplified approach and a novel starting point that significantly reduces numerical error will be offered herein.…”
Section: 51mentioning
confidence: 99%