Results 41 to 50 of about 205,428 (139)
Derivative-Free King’s Scheme for Multiple Zeros of Nonlinear Functions
Mathematics, 2021 There is no doubt that the fourth-order King’s family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, it has a linear order of convergence ...
Ramandeep Behl +3 more
doaj +1 more source
Journal of Extracellular Vesicles, Volume 10, Issue 1, November 2020., 2020 Abstract Nasopharyngeal carcinoma (NPC) is the most common cancer with high metastatic potential that occurs in the epithelial cells of the nasopharynx. Distant metastases are the primary cause for treatment failure and mortality of NPC patients. However, the underlying mechanism responsible for the initiation of tumour cell dissemination and tumour ...
Fei Li +11 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 In this article, we first construct a family of optimal 2‐step iterative methods for finding a single root of the nonlinear equation using the procedure of weight function. We then extend these methods for determining all roots simultaneously. Convergence analysis is presented for both cases to show that the order of convergence is 4 in case of the ...
Naila Rafiq +4 more
wiley +1 more source
On Dynamics of Iterative Techniques for Nonlinear Equation with Applications in Engineering
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 In this article, we construct an optimal family of iterative methods for finding the single root and then extend this family for determining all the distinct as well as multiple roots of single‐variable nonlinear equations simultaneously. Convergence analysis is presented for both the cases to show that the optimal order of convergence is 4 in the case
Mudassir Shams +5 more
wiley +1 more source
Optimal Eighth-Order Solver for Nonlinear Equations with Applications in Chemical Engineering
Intelligent Automation and Soft Computing, 2021 A new iterative technique for nonlinear equations is proposed in this work. The new scheme is of three steps, of which the first two steps are based on the sixth-order modified Halley’s method presented by the authors, and the last is a Newton step, with
Obadah Said Solaiman, I. Hashim
semanticscholar +1 more source
Eighth-Order Iterative Methods without Derivatives for Solving Nonlinear Equations [PDF]
, 2011 A new family of eighth-order derivative-free methods for solving nonlinear equations is presented. It is proved that these methods have the convergence order of eight.
R. Thukral
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New higher order iterative methods for solving nonlinear equations and their basins of attraction
Current Research in Interdisciplinary Studies, 2023 In this work, we have developed a family of eighth order Newton-type methods for solving nonlinear equations with four functional evaluations. Further, we have improved a new member of eighth order method to sixteenth order iterative method with five ...
K. Madhu
semanticscholar +1 more source
New modifications of Newton-type methods with eighthorder convergence for solving nonlinear equations [PDF]
, 2015 The aims of this paper are, firstly, to define a new family of the Thukral and Petkovic type methods for finding zeros of nonlinear equations and secondly, to introduce new formulas for approximating the order of convergence of the iterative method.
Thukral, Rajinder
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The Optimal Order Newton’s Like Methods with Dynamics
Mathematics, 2021 In this paper, we have obtained three optimal order Newton’s like methods of order four, eight, and sixteen for solving nonlinear algebraic equations. The convergence analysis of all the optimal order methods is discussed separately.
Manoj Kumar Singh, Arvind K. Singh
doaj +1 more source
Modified King’s Family for Multiple Zeros of Scalar Nonlinear Functions
Mathematics, 2020 There is no doubt that there is plethora of optimal fourth-order iterative approaches available to estimate the simple zeros of nonlinear functions.
Ramandeep Behl +2 more
doaj +1 more source