A fourth order iterative method for solving nonlinear equations

AK Maheshwari - Applied mathematics and computation, 2009 - Elsevier
The present paper illustrates an iterative numerical method to solve nonlinear equations of
the form f (x)= 0, especially those containing the partial and non partial involvement of …

[PDF][PDF] New algorithms for computing a root of non-linear equations using exponential series

S Thota, T Gemechu, P Shanmugasundaram - Palestine J. Math, 2021 - academia.edu
In this paper, we present new algorithms/methods to find a non-zero real root of the
transcendental equations using exponential series. The new proposed method is based on …

A new trigonometrical algorithm for computing real root of non-linear transcendental equations

VK Srivastav, S Thota, M Kumar - International Journal of Applied and …, 2019 - Springer
This paper presents a new algorithm to find a non-zero real root of the transcendental
equations using trigonometrical formula. Indeed, the new proposed algorithm is based on …

Quadratically convergent algorithm for computing real root of non-linear transcendental equations

S Thota, VK Srivastav - BMC Research Notes, 2018 - Springer
Objectives The present paper describes a new algorithm to find a root of non-linear
transcendental equations. It is found that Regula-Falsi method always gives guaranteed …

[HTML][HTML] Some higher-order modifications of Newton's method for solving nonlinear equations

YM Ham, C Chun, SG Lee - Journal of Computational and Applied …, 2008 - Elsevier
In this paper we consider constructing some higher-order modifications of Newton's method
for solving nonlinear equations which increase the order of convergence of existing iterative …

On some third-order iterative methods for solving nonlinear equations

V Kanwar, VK Kukreja, S Singh - Applied Mathematics and Computation, 2005 - Elsevier
Using the iteration formulas of second order [Mamta, V. Kanwar, VK Kukreja, Sukhjit Singh,
On a class of quadratically convergent iteration formulae, Appl. Math. Comput. 2004, in …

[PDF][PDF] An algorithm to compute real root of transcendental equations using hyperbolic tangent function

S Thota, VK Srivastav - Int. J. Open Problems Compt. Math, 2021 - ijopcm.org
This paper presents a new algorithm to find a non-zero real root of the transcendental
equations using hyperbolic tangent function. Indeed, the new proposed algorithm is based …

Some new iterative methods with three-order convergence

J Chen - Applied mathematics and computation, 2006 - Elsevier
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[HTML][HTML] Simply constructed family of a Ostrowski's method with optimal order of convergence

V Kanwar, R Behl, KK Sharma - Computers & Mathematics with …, 2011 - Elsevier
In this paper, we propose a simple modification over Chun's method for constructing iterative
methods with at least cubic convergence [5]. Using iteration formulas of order two, we now …

New optimal class of higher-order methods for multiple roots, permitting f′(xn)= 0

V Kanwar, S Bhatia, M Kansal - Applied Mathematics and Computation, 2013 - Elsevier
Finding multiple zeros of nonlinear functions pose many difficulties for many of the iterative
methods. A major difficulty in the application of iterative methods is the selection of initial …