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Numerical simulation of a degenerate parabolic problem occurring in the spatial diffusion of biological population

2021Journal article Embargoed access
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dc.contributor.authorNikan, O.
dc.contributor.authorAvazzadeh, Z.
dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2021-10-01T10:30:29Z
dc.date.embargo2031-12
dc.date.issued2021
dc.description.abstractThis paper studies a localized meshless algorithm for calculating the solution of a nonlinear biological population model (NBPM). This model describes the dynamics in the biological population and may provide valuable predictions under different scenarios. The solution of the NBPM is approximated by means of local radial basis function based on the partition of unity (LRBF-PU) technique. First, the partial differential equation (PDE) is converted into a system of ordinary differential equations (ODEs) with the help of radial kernels. Afterwards, the system of ODEs is solved through an ODE solver of high-order. The major advantage of this scheme is that it does not requires any linearization. The LRBF-PU approximation helps handling the issue of the matrix ill conditioning that arises in a global RBF approximation. Three examples highlight the efficiency and accuracy of the numerical method. It is verified that the proposed strategy is more efficient in terms of computational time and accuracy in comparison with others available in the literature.pt_PT
dc.description.sponsorshipThe authors would like to express our sincere thanks to the editors and anonymous reviewers who have generously given up valuable time to review which helps to improve the quality of this work.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.chaos.2021.111220pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/18642
dc.language.isoengpt_PT
dc.publisherElsevierpt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0960077921005749pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectNonlinear Biological population modelpt_PT
dc.subjectMeshless methodpt_PT
dc.subjectRBFpt_PT
dc.subjectLRBF-PUpt_PT
dc.subjectShape parameterpt_PT
dc.titleNumerical simulation of a degenerate parabolic problem occurring in the spatial diffusion of biological populationpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.startPage111220pt_PT
oaire.citation.titleChaos, Solitons & Fractalspt_PT
oaire.citation.volume151pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsembargoedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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