Exact Solutions and Continuous Numerical Approximations of Coupled Systems of Diffusion Equations with Delay
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Título: | Exact Solutions and Continuous Numerical Approximations of Coupled Systems of Diffusion Equations with Delay |
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Autor/es: | Reyes Salguero, Elia | Castro, María Ángeles | Sirvent Guijarro, Antonio | Rodríguez, Francisco |
Grupo/s de investigación o GITE: | Análisis de Datos y Modelización de Procesos en Biología y Geociencias | Ecuaciones Diferenciales con Retardo |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemática Aplicada | Universidad de Alicante. Instituto Multidisciplinar para el Estudio del Medio "Ramón Margalef" |
Palabras clave: | Delay diffusion equations | Exact infinite series solutions | Analytical–numerical solutions | A-priori error bounds |
Área/s de conocimiento: | Matemática Aplicada |
Fecha de publicación: | 21-sep-2020 |
Editor: | MDPI |
Cita bibliográfica: | Reyes E, Castro MÁ, Sirvent A, Rodríguez AF. Exact Solutions and Continuous Numerical Approximations of Coupled Systems of Diffusion Equations with Delay. Symmetry. 2020; 12(9):1560. https://doi.org/10.3390/sym12091560 |
Resumen: | In this work, we obtain exact solutions and continuous numerical approximations for mixed problems of coupled systems of diffusion equations with delay. Using the method of separation of variables, and based on an explicit expression for the solution of the separated vector initial-value delay problem, we obtain exact infinite series solutions that can be truncated to provide analytical–numerical solutions with prescribed accuracy in bounded domains. Although usually implicit in particular applications, the method of separation of variables is deeply correlated with symmetry ideas. |
Patrocinador/es: | This research was funded by Ministerio de Economía y Competitividad grant number CGL2017-89804-R. |
URI: | http://hdl.handle.net/10045/109402 |
ISSN: | 2073-8994 |
DOI: | 10.3390/sym12091560 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.3390/sym12091560 |
Aparece en las colecciones: | INV - EDR - Artículos de Revistas INV - MODDE - Artículos de Revistas |
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