Acceleration of the order of convergence of a family of fractional fixed-point methods and its implementation in the solution of a nonlinear algebraic system related to hybrid solar receivers
Por:
Torres-Hernandez, A., Brambila-Paz, F., Montufar-Chaveznava, R.
Publicada:
15 sep 2022
Resumen:
This paper presents one way to define an uncountable family of
fractional fixed-point methods through a set of matrices that can
generate a group of fractional matrix operators, as well as one way to
define groups of fractional operators that are isomorphic to the group
of integers under the addition, and shows one way to classify and
accelerate the order of convergence of the family of proposed iterative
methods, which may be useful to continue expanding the applications of
the fractional operators. The proposed method to accelerate the order of
convergence is used in a fractional iterative method, and with the
obtained method are solved simultaneously two nonlinear algebraic
systems that depend on time-dependent parameters, and that allow
obtaining the temperatures and efficiencies of a hybrid solar receiver.
Finally, two uncountable families of fractional fixed-point methods are
presented, in which the proposed method to accelerate convergence can be
implemented. (C) 2022 Elsevier Inc. All rights reserved.
Filiaciones:
Torres-Hernandez, A.:
(Corresponding Author), Univ Nacl Autonoma Mexico, Dept Phys, Fac Sci, Mexico City, DF, Mexico
Univ Nacl Autonoma Mexico, Dept Phys, Fac Sci, Mexico City, DF, Mexico
Brambila-Paz, F.:
Univ Nacl Autonoma Mexico, Dept Math, Fac Sci, Mexico City, DF, Mexico
Montufar-Chaveznava, R.:
Univ Nacl Autonoma Mexico, Dept Geophys, Fac Engn, Mexico City, DF, Mexico
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