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Numerical resolution of the hyperbolic heat equation using smoothed mathematical functions instead of Heaviside and Dirac delta distributions

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Numerical resolution of the hyperbolic heat equation using smoothed mathematical functions instead of Heaviside and Dirac delta distributions

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Rivera Ortun, MJ.; Trujillo Guillen, M.; Romero García, V.; López Molina, JA.; Berjano Zanón, E. (2013). Numerical resolution of the hyperbolic heat equation using smoothed mathematical functions instead of Heaviside and Dirac delta distributions. International Communications in Heat and Mass Transfer. 46:7-12. doi:10.1016/j.icheatmasstransfer.2013.05.017

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/40600

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Title: Numerical resolution of the hyperbolic heat equation using smoothed mathematical functions instead of Heaviside and Dirac delta distributions
Author: Rivera Ortun, María José Trujillo Guillen, Macarena Romero García, Vicente López Molina, Juan Antonio Berjano Zanón, Enrique
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Universitat Politècnica de València. Instituto de Investigación para la Gestión Integral de Zonas Costeras - Institut d'Investigació per a la Gestió Integral de Zones Costaneres
Universitat Politècnica de València. Departamento de Ingeniería Electrónica - Departament d'Enginyeria Electrònica
Issued date:
Abstract:
The hyperbolic bioheat equation (HBE) has been used to model heating applications involving very short power pulses. This equation includes two mathematical distributions (Heaviside and Delta) which have to be necessarily ...[+]
Subjects: Wave heat , Non-Fourier heat , Hyperbolic bioheat equation , Heaviside distribution , Numerical method , Dirac distribution
Copyrigths: Reserva de todos los derechos
Source:
International Communications in Heat and Mass Transfer. (issn: 0735-1933 )
DOI: 10.1016/j.icheatmasstransfer.2013.05.017
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.icheatmasstransfer.2013.05.017
Project ID:
Ministerio de Ciencia e Innovacion (Plan Nacional de I+D+I Grant Nº TEC2011-27133-C02-01)
Universitat Politenica de Valencia (PAID-06-11 Ref. 1988)
Programa de Contratos Post-Doctorales con Movilidad UPV del Campus de Excelencia (CEI-01-11)
FEDER Project (MAT2009-09438)
Thanks:
This work received financial support from the Spanish "Plan Nacional de I + D + I del Ministerio de Ciencia e Innovacion" Grant No. TEC2011-27133-C02-01 and from Universitat Politenica de Valencia (PAID-06-11 Ref. 1988). ...[+]
Type: Artículo

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