Publicación:
On the numerical solution to a Solow model with spatial diffusion and technology-induced capital mobility

dc.contributor.authorUreña, N.
dc.contributor.authorVargas Ureña, Antonio Manuel
dc.date.accessioned2024-12-17T12:05:08Z
dc.date.available2024-12-17T12:05:08Z
dc.date.issued2023-10-12
dc.descriptionThis is an Accepted Manuscript of an article published by Elsevier in "Engineering Analysis with Boundary Elements, Volume 157, December 2023, Pages 541-552", available at: https://doi.org/10.1016/j.enganabound.2023.09.026. (https://www.sciencedirect.com/science/article/pii/S0955799723004927) Este es el manuscrito aceptado del artículo publicado por Elsevier en "Engineering Analysis with Boundary Elements, Volume 157, December 2023, Pages 541-552", disponible en línea: https://doi.org/10.1016/j.enganabound.2023.09.026. (https://www.sciencedirect.com/science/article/pii/S0955799723004927)
dc.description.abstractThis work studies a parabolic-parabolic PDE system that describes the evolution of physical capital (denoted by ”k”) and technological progress (denoted by ”A”). The study employs a meshless method in one and two- dimensional bounded domains with regular boundaries. The well-known Solow model is extended to consider the spatial diffusion of both capital and technology. Additionally, we study the case in which induced movement of capital towards regions with a large technological progress occurs. For such models, we propose schemes based on the Generalized Finite Difference method and prove the convergence of the numerical solution to the continuous one, which is the main objective of the study. Several examples show the dynamics of the model for a wide range of parameters, illustrating the accuracy of the numerical method.en
dc.description.versionVersión enviada (preprint)
dc.identifier.citationN. Ureña, A.M. Vargas, On the numerical solution to a Solow model with spatial diffusion and technology-induced capital mobility, Engineering Analysis with Boundary Elements, Volume 157, 2023, Pages 541-552, ISSN 0955-7997, https://doi.org/10.1016/j.enganabound.2023.09.026
dc.identifier.doihttps://doi.org/10.1016/j.enganabound.2023.09.026
dc.identifier.issn1873-197X
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24953
dc.journal.titleEngineering Analysis with Boundary Elements
dc.journal.volume157
dc.language.isoen
dc.page.final552
dc.page.initial541
dc.publisherScienceDirect
dc.relation.centerFacultades y escuelas::E.T.S. de Ingenieros Industriales
dc.relation.departmentMatemática Aplicada I
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas::1206 Análisis numérico
dc.subject53 Ciencias Económicas::5305 Sistemas económicos::5305.01 Sistemas económicos capitalistas
dc.subject.keywordsSolow modelen
dc.subject.keywordsGeneralized Finite Differenceen
dc.subject.keywordsMeshless methoden
dc.subject.keywordsParabolic PDEsen
dc.titleOn the numerical solution to a Solow model with spatial diffusion and technology-induced capital mobilityen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublication6d700201-394b-4442-b0f1-dbe2a6703081
relation.isAuthorOfPublication.latestForDiscovery6d700201-394b-4442-b0f1-dbe2a6703081
Archivos
Bloque original
Mostrando 1 - 1 de 1
Cargando...
Miniatura
Nombre:
VargasUrena_AntonioManuel_On the numerical solution to a Solow model with spatial.pdf
Tamaño:
1.73 MB
Formato:
Adobe Portable Document Format
Bloque de licencias
Mostrando 1 - 1 de 1
No hay miniatura disponible
Nombre:
license.txt
Tamaño:
3.62 KB
Formato:
Item-specific license agreed to upon submission
Descripción: