On the construction of difference schemes for numerical solutions of generalized diffusion equations with delay

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Title: On the construction of difference schemes for numerical solutions of generalized diffusion equations with delay
Authors: García Ferrández, Pedro Antonio | Sirvent Guijarro, Antonio | Martín Alustiza, José Antonio
Research Group/s: Ecuaciones Diferenciales con Retardo
Center, Department or Service: Universidad de Alicante. Departamento de Matemática Aplicada
Keywords: Diffusion equation with delay | Difference schemes | Stability analysis
Knowledge Area: Matemática Aplicada
Issue Date: 4-Nov-2007
Abstract: This work deals with the construction of difference schemes for numerical solutions of initial-boundary-value problems for the diffusion equation with delay. We obtain highly efficient numerical schemes for partial differential equations with delay, analyzing their convergence properties, and showing numerical examples.
Description: Este trabajo fue presentado en el International Congress of Mathematicians Madrid 2006 - ICM 2006, 22-30 de agosto 2006, Madrid.
Sponsor: This work has been partially funded by Valencia Regional Government (Generalitat Valenciana), through projects GV04B/454 (Conselleria de Cultura, Educación y Deporte) and GV06/207 (Conselleria de Empresa, Universidad y Ciencia). We thank the University of Alicante for financial support to the Delay Differential Equations research group.
URI: http://hdl.handle.net/10045/2768
Language: eng
Type: Other
Peer Review: no
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