Ureña, N.Vargas Ureña, Antonio Manuel2024-12-172024-12-172023-10-12N. 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.2023.09.0261873-197Xhttps://doi.org/10.1016/j.enganabound.2023.09.026https://hdl.handle.net/20.500.14468/24953This 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)This 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.eninfo:eu-repo/semantics/openAccess12 Matemáticas::1206 Análisis numérico53 Ciencias Económicas::5305 Sistemas económicos::5305.01 Sistemas económicos capitalistasartículoSolow modelGeneralized Finite DifferenceMeshless methodParabolic PDEs