Staff View: Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater

Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater

The study presents a meshless computational approach for simulating the three-dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo sense. The methodology combines a stable Crank-Nicolson time-integration scheme with the definition of the Caputo derivative to discre...

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Main Authors:	Ahmad I., Ali I., Jan R., Idris S.A., Mousa M.
Other Authors:	57220824630
Format:	Article
Published:	Public Library of Science 2024
Subjects:	Diffusion Groundwater Models, Theoretical Solutions Water Movements ground water accuracy anomalous solute transport Article discretization fluid transport mean absolute error radial basis function simulation water contamination diffusion solution and solubility theoretical model water flow
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id	my.uniten.dspace-33929
record_format	dspace
spelling	my.uniten.dspace-339292024-10-14T11:17:27Z Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater Ahmad I. Ali I. Jan R. Idris S.A. Mousa M. 57220824630 57211855967 57205596279 57226267577 57745854800 Diffusion Groundwater Models, Theoretical Solutions Water Movements ground water accuracy anomalous solute transport Article discretization fluid transport mean absolute error radial basis function simulation water contamination diffusion solution and solubility theoretical model water flow The study presents a meshless computational approach for simulating the three-dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo sense. The methodology combines a stable Crank-Nicolson time-integration scheme with the definition of the Caputo derivative to discretize the problem in the temporal direction. The spatial function derivative is approximated using the inverse multiquadric radial basis function. The solution is approximated on a set of scattered or uniform nodes, resulting in a sparse and well-conditioned coefficient matrix. The study highlights the advantages of meshless method, particularly their simplicity of implementation in higher dimensions. To validate the accuracy and efficacy of the proposed method, we performed numerical simulations and compared them with analytical solutions for various test problems. These simulations were carried out on computational domains of both rectangular and non-rectangular shapes. The research highlights the potential of meshless techniques in solving complex diffusion problems and its successful applications in groundwater contamination and other relevant fields. � 2023 Ahmad et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Final 2024-10-14T03:17:27Z 2024-10-14T03:17:27Z 2023 Article 10.1371/journal.pone.0294348 2-s2.0-85179642954 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85179642954&doi=10.1371%2fjournal.pone.0294348&partnerID=40&md5=2477f4c1737de51f4efc5956b5b24acf https://irepository.uniten.edu.my/handle/123456789/33929 18 12-Dec e0294348 All Open Access Gold Open Access Public Library of Science Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	Diffusion Groundwater Models, Theoretical Solutions Water Movements ground water accuracy anomalous solute transport Article discretization fluid transport mean absolute error radial basis function simulation water contamination diffusion solution and solubility theoretical model water flow
spellingShingle	Diffusion Groundwater Models, Theoretical Solutions Water Movements ground water accuracy anomalous solute transport Article discretization fluid transport mean absolute error radial basis function simulation water contamination diffusion solution and solubility theoretical model water flow Ahmad I. Ali I. Jan R. Idris S.A. Mousa M. Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater
description	The study presents a meshless computational approach for simulating the three-dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo sense. The methodology combines a stable Crank-Nicolson time-integration scheme with the definition of the Caputo derivative to discretize the problem in the temporal direction. The spatial function derivative is approximated using the inverse multiquadric radial basis function. The solution is approximated on a set of scattered or uniform nodes, resulting in a sparse and well-conditioned coefficient matrix. The study highlights the advantages of meshless method, particularly their simplicity of implementation in higher dimensions. To validate the accuracy and efficacy of the proposed method, we performed numerical simulations and compared them with analytical solutions for various test problems. These simulations were carried out on computational domains of both rectangular and non-rectangular shapes. The research highlights the potential of meshless techniques in solving complex diffusion problems and its successful applications in groundwater contamination and other relevant fields. � 2023 Ahmad et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
author2	57220824630
author_facet	57220824630 Ahmad I. Ali I. Jan R. Idris S.A. Mousa M.
format	Article
author	Ahmad I. Ali I. Jan R. Idris S.A. Mousa M.
author_sort	Ahmad I.
title	Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater
title_short	Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater
title_full	Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater
title_fullStr	Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater
title_full_unstemmed	Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater
title_sort	solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater
publisher	Public Library of Science
publishDate	2024
_version_	1814061032821227520
score	13.211869

Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater

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