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
arXiv:2109.03152 · doi:10.1016/j.amc.2022.127231
Abstract
This paper presents a way to define, classify and accelerate the order of convergence of an uncountable family of fractional fixed point methods, which may be useful to continue expanding the applications of fractional operators. The proposed method to accelerate 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.
References in corpus (8)
- A Caputo fractional derivative of a function with respect to another function
- A Generalized Definition of Fractional Derivative with Applications
- The maximum theoretical performance of unconcentrated solar photovoltaic and thermoelectric generator systems
- An approximation to zeros of the Riemann zeta function using fractional calculus
- Introducción al Cálculo Fraccional
- Sets of fractional operators and numerical estimation of the order of convergence of a family of fractional fixed point methods
- Reduction of a nonlinear system and its numerical solution using a fractional iterative method
- A nonlinear system related to investment under uncertainty solved using the fractional pseudo-Newton method