Reduction of a nonlinear system and its numerical solution using a fractional iterative method
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- dc.contributor.author Torres Hernandez, Anthony
- dc.contributor.author Brambila Paz, Fernando
- dc.contributor.author Rodrigo Cruz, Pedro Manuel
- dc.contributor.author De la Vega, Eduardo
- dc.date.accessioned 2025-07-07T06:43:51Z
- dc.date.available 2025-07-07T06:43:51Z
- dc.date.issued 2020
- dc.description.abstract A nonlinear algebraic equation system of 5 variables is numerically solved, which allows modeling the behavior of the temperatures and the efficiencies of a hybrid solar receiver, which in simple terms is the combination of a photovoltaic system with a thermoelectric system. In addition, a way to reduce the previous system to a nonlinear system of only 2 variables is presented. Naturally, reducing algebraic equation systems of dimension N to systems of smaller dimensions has the main advantage of reducing the number of variables involved in a problem, but the analytical expressions of the systems become more complicated. However, to minimize this disadvantage, an iterative method that does not explicitly depend on the analytical complexity of the system to be solved is used. A fractional iterative method, valid for one and several variables, that uses the properties of fractional calculus, in particular the fact that the fractional derivatives of constants are not always zero, to find solutions of nonlinear systems is presented.
- dc.format.mimetype application/pdf
- dc.identifier.citation Torres-Hernandez A, Brambila-Paz F, Rodrigo PM, De-la-Vega E. Reduction of a nonlinear system and its numerical solution using a fractional iterative method. Journal of Mathemathics and Statistical Science. 2020 Oct;6(10):285-99.
- dc.identifier.issn 2411-2518
- dc.identifier.uri http://hdl.handle.net/10230/70851
- dc.language.iso eng
- dc.publisher Science Signpost Publishing
- dc.relation.ispartof Journal of Mathemathics and Statistical Science. 2020 Oct;6(10):285-99
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- dc.rights.accessRights info:eu-repo/semantics/openAccess
- dc.rights.uri http://creativecommons.org/licenses/by/4.0/
- dc.subject.keyword Iteration function
- dc.subject.keyword Order of convergence
- dc.subject.keyword Fractional derivative
- dc.subject.keyword Parallel chord method
- dc.subject.keyword Hybrid solar receiver
- dc.title Reduction of a nonlinear system and its numerical solution using a fractional iterative method
- dc.type info:eu-repo/semantics/article
- dc.type.version info:eu-repo/semantics/publishedVersion