2026-04-05T10:48:09Zhttps://recercat.cat/oai/request

oai:recercat.cat:10230/708192025-07-05T21:40:09Zcom_2072_6col_2072_452952

Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver Torres Hernandez, Anthony Brambila Paz, Fernando Rodrigo, Pedro M. De-la-Vega, Eduardo Iteration function Order of convergence Fractional derivative Parallel Chord Method Hybrid solar receiver The following document presents a possible solution and a brief stability analysis for a nonlinear system, which is obtained by studying the possibility of building a hybrid solar receiver; it is necessary to mention that the solution of the aforementioned system is relatively difficult to obtain through iterative methods since the system is apparently unstable. To find this possible solution is used a novel numerical method valid for one and several variables, which using the fractional derivative, allows us to find solutions for some nonlinear systems in the complex space using real initial conditions, this method is also valid for linear systems. The method described above has an order of convergence (at least) linear, but it is easy to implement and it is not necessary to invert some matrix for solving nonlinear systems and linear systems. 2025-07-05T21:40:09Z 2025-07-05T21:40:09Z 2025-07-02T09:28:50Z 2025-07-02T09:28:50Z 2020 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://hdl.handle.net/10230/70819 Applied Mathematics and Sciences: an International Journal. 2020 Jun;7(2):1-12 This article is distributed under the terms of the Creative Commons Attribution License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess AIRCC Publishing Corporation