A family of fifth-order iterative methods for finding multiple roots of nonlinear equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 2, pp. 213-227
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We present a family of fifth order iterative methods for finding multiple roots of nonlinear equations. Numerical examples are considered to check the validity of theoretical results. The results show that the new methods are competitive to other methods for multiple roots. Basins of attraction for new methods and some existing methods are drawn to observe the dynamics in the complex plane.
@article{SJVM_2021_24_2_a6,
author = {J. R. Sharma and H. Arora},
title = {A family of fifth-order iterative methods for finding multiple roots of nonlinear equations},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {213--227},
publisher = {mathdoc},
volume = {24},
number = {2},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2021_24_2_a6/}
}
TY - JOUR AU - J. R. Sharma AU - H. Arora TI - A family of fifth-order iterative methods for finding multiple roots of nonlinear equations JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2021 SP - 213 EP - 227 VL - 24 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2021_24_2_a6/ LA - ru ID - SJVM_2021_24_2_a6 ER -
%0 Journal Article %A J. R. Sharma %A H. Arora %T A family of fifth-order iterative methods for finding multiple roots of nonlinear equations %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2021 %P 213-227 %V 24 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2021_24_2_a6/ %G ru %F SJVM_2021_24_2_a6
J. R. Sharma; H. Arora. A family of fifth-order iterative methods for finding multiple roots of nonlinear equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 24 (2021) no. 2, pp. 213-227. http://geodesic.mathdoc.fr/item/SJVM_2021_24_2_a6/