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

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dc.citedby23
dc.contributor.authorAhmad I.en_US
dc.contributor.authorAli I.en_US
dc.contributor.authorJan R.en_US
dc.contributor.authorIdris S.A.en_US
dc.contributor.authorMousa M.en_US
dc.contributor.authorid57220824630en_US
dc.contributor.authorid57211855967en_US
dc.contributor.authorid57205596279en_US
dc.contributor.authorid57226267577en_US
dc.contributor.authorid57745854800en_US
dc.date.accessioned2024-10-14T03:17:27Z
dc.date.available2024-10-14T03:17:27Z
dc.date.issued2023
dc.description.abstractThe 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.en_US
dc.description.natureFinalen_US
dc.identifier.ArtNoe0294348
dc.identifier.doi10.1371/journal.pone.0294348
dc.identifier.issue12-Dec
dc.identifier.scopus2-s2.0-85179642954
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85179642954&doi=10.1371%2fjournal.pone.0294348&partnerID=40&md5=2477f4c1737de51f4efc5956b5b24acf
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/33929
dc.identifier.volume18
dc.publisherPublic Library of Scienceen_US
dc.relation.ispartofAll Open Access
dc.relation.ispartofGold Open Access
dc.sourceScopus
dc.sourcetitlePLoS ONE
dc.subjectDiffusion
dc.subjectGroundwater
dc.subjectModels, Theoretical
dc.subjectSolutions
dc.subjectWater Movements
dc.subjectground water
dc.subjectaccuracy
dc.subjectanomalous solute transport
dc.subjectArticle
dc.subjectdiscretization
dc.subjectfluid transport
dc.subjectmean absolute error
dc.subjectradial basis function
dc.subjectsimulation
dc.subjectwater contamination
dc.subjectdiffusion
dc.subjectsolution and solubility
dc.subjecttheoretical model
dc.subjectwater flow
dc.titleSolutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwateren_US
dc.typeArticleen_US
dspace.entity.typePublication
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