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Further development on Traub’s method for solving system of nonlinear equations and ODE’s
, 2020The foremost objective of this work is to propose a eighth and sixteenth order scheme for handling a nonlinear equation. The eighth order method uses three evaluations of the function and one assessment of the first derivative and sixteenth order ...
K. Madhu, M. Al-arydah
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Mathematical methods in the applied sciences, 2023
In this manuscript, we introduce a two‐step convergent iterative scheme to compute the roots with multiplicity m$$ m $$ of nonlinear equations. Most of the schemes in literature have flexibility at either first substep or second step, while our scheme ...
R. Behl, S. Bhalla, C. Chun
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In this manuscript, we introduce a two‐step convergent iterative scheme to compute the roots with multiplicity m$$ m $$ of nonlinear equations. Most of the schemes in literature have flexibility at either first substep or second step, while our scheme ...
R. Behl, S. Bhalla, C. Chun
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An optimized Chebyshev–Halley type family of multiple solvers: Extensive analysis and applications
Mathematical methods in the applied sciences, 2022In this manuscript, we introduce a higher‐order optimal family of Chebyshev–Halley type methods to solve a univariate nonlinear equation having multiple roots.
L. Rani +3 more
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DYNAMICAL ANALYSIS OF OPTIMAL ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS WITH APPLICATIONS
Journal of Applied Analysis & ComputationIn this study, we introduced a new family of two-and three-step iterative methods for solving non-linear equations. The proposed methods adhere to the Kung and Traub conjecture, making them optimal as they require only three function evaluations for a ...
Shahid Abdullah +2 more
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An eighth-order two-step with-memory adaptive method base on Hansen-Patrick’s method and its dynamic
International Journal of Mathematics and PhysicsA tri-parametric family of two-point iterative methods with 7.5 and 8-order convergence for solving nonlinear equations has been proposed. Each derivative-free method member of the family requires only three evaluations of the given function per ...
V. Torkashvand
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International Journal of Computational Mathematics, 2019
This study proposes a new two-step iterative scheme for solving nonlinear equations. This scheme is based on the Newton's method, in which the order of convergence is 4.
R. Erfanifar, K. Sayevand, H. Esmaeili
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This study proposes a new two-step iterative scheme for solving nonlinear equations. This scheme is based on the Newton's method, in which the order of convergence is 4.
R. Erfanifar, K. Sayevand, H. Esmaeili
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Optimal fourth and eighth-order iterative methods for non-linear equations
Journal of Applied Mathematics and Computation, 2022S. Panday, Ashok Sharma, G. Thangkhenpau
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New modified optimal families of King’s and Traub-Ostrowski’s methods
Numerical Analysis and Applications, 2014R. Behl, V. Kanwar, K. K. Sharma
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Notes on further refining de Sitter swampland conjecture with inflationary models
Chinese Journal of Physics, 2022J Sadeghi +2 more
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