Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative

This paper presents the algorithms for solving the inverse problems on models with the fractional derivative. The presented algorithm is based on the Real Ant Colony Optimization algorithm. In this paper, the examples of the algorithm application for the inverse heat conduction problem on the model...

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Autores principales: Brociek, Rafał, Chmielowska, Agata, Słota, Damian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517070/
https://www.ncbi.nlm.nih.gov/pubmed/33286327
http://dx.doi.org/10.3390/e22050555
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author Brociek, Rafał
Chmielowska, Agata
Słota, Damian
author_facet Brociek, Rafał
Chmielowska, Agata
Słota, Damian
author_sort Brociek, Rafał
collection PubMed
description This paper presents the algorithms for solving the inverse problems on models with the fractional derivative. The presented algorithm is based on the Real Ant Colony Optimization algorithm. In this paper, the examples of the algorithm application for the inverse heat conduction problem on the model with the fractional derivative of the Caputo type is also presented. Based on those examples, the authors are comparing the proposed algorithm with the iteration method presented in the paper: Zhang, Z. An undetermined coefficient problem for a fractional diffusion equation. Inverse Probl. 2016, 32.
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spelling pubmed-75170702020-11-09 Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative Brociek, Rafał Chmielowska, Agata Słota, Damian Entropy (Basel) Article This paper presents the algorithms for solving the inverse problems on models with the fractional derivative. The presented algorithm is based on the Real Ant Colony Optimization algorithm. In this paper, the examples of the algorithm application for the inverse heat conduction problem on the model with the fractional derivative of the Caputo type is also presented. Based on those examples, the authors are comparing the proposed algorithm with the iteration method presented in the paper: Zhang, Z. An undetermined coefficient problem for a fractional diffusion equation. Inverse Probl. 2016, 32. MDPI 2020-05-15 /pmc/articles/PMC7517070/ /pubmed/33286327 http://dx.doi.org/10.3390/e22050555 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Brociek, Rafał
Chmielowska, Agata
Słota, Damian
Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative
title Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative
title_full Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative
title_fullStr Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative
title_full_unstemmed Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative
title_short Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative
title_sort comparison of the probabilistic ant colony optimization algorithm and some iteration method in application for solving the inverse problem on model with the caputo type fractional derivative
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7517070/
https://www.ncbi.nlm.nih.gov/pubmed/33286327
http://dx.doi.org/10.3390/e22050555
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AT chmielowskaagata comparisonoftheprobabilisticantcolonyoptimizationalgorithmandsomeiterationmethodinapplicationforsolvingtheinverseproblemonmodelwiththecaputotypefractionalderivative
AT słotadamian comparisonoftheprobabilisticantcolonyoptimizationalgorithmandsomeiterationmethodinapplicationforsolvingtheinverseproblemonmodelwiththecaputotypefractionalderivative

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