An improved Newton-Raphson method with quadratic convergence for solving nonlinear transcendental equations
Abstract
This paper presents a new scheme to find a non-zero positive root of the non-linear single variable equations. The proposed method is based on the grouping of the arc sine series and Newton-Raphson method. The proposed method is implemented in MATLAB and is applied to various models of problems to ensure the methods applicability. The proposed method is studied on number of numerical examples and results signify that our method is better and more effective as comparable to renowned methods. These results are depicted through error analysis. The convergence of proposed method is proven to be quadratically convergence.
Copyright © 2022 K. Venkateshwarlu, G. Mahesh, G. Swapna. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
K. Venkateshwarlu, G. Mahesh, G. Swapna, An improved Newton-Raphson method with quadratic convergence for solving nonlinear transcendental equations, J. Math. Comput. Sci. 12 (2022), 104. https://doi.org/10.28919/jmcs/6949
BibTeX
@article{Venkateshwarlu2022,
author = {Venkateshwarlu, K. and Mahesh, G. and Swapna, G.},
title = {An improved Newton-Raphson method with quadratic convergence for solving nonlinear transcendental equations},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {104},
doi = {10.28919/jmcs/6949}
}