Numerical solution to a Parabolic-ODE Solow model with spatial diffusion and technology-induced motility
This work studies a parabolic-ODE PDE’s system which describes the evolution of the physical capital “k” and technological progress “A”, using a meshless method in one and two dimensional bounded domain with regular boundary. The well-known Solow model is extended by considering the spatial diffusio...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad Nacional de Educación a Distancia |
| Repositorio: | e-spacio. Repositorio Institucional de la UNED |
| Idioma: | inglés |
| OAI Identifier: | oai:e-spacio.uned.es:20.500.14468/24954 |
| Acceso en línea: | https://hdl.handle.net/20.500.14468/24954 |
| Access Level: | acceso abierto |
| Palabra clave: | 12 Matemáticas::1206 Análisis numérico 53 Ciencias Económicas::5307 Teoría económica::5307.07 Previsión económica Solow model Generalized Finite Difference Meshless method Parabolic PDEs |
| Sumario: | This work studies a parabolic-ODE PDE’s system which describes the evolution of the physical capital “k” and technological progress “A”, using a meshless method in one and two dimensional bounded domain with regular boundary. The well-known Solow model is extended by considering the spatial diffusion of both capital and technology. Moreover, we study the case in which no spatial diffusion of the technology progress occurs. For such models, we propound schemes based on the Generalized Finite Difference method and prove the convergence of the numerical solution to the continuous one. Several examples show the dynamics of the model for a wide range of parameters. These examples illustrate the accuary of the numerical method. |
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