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Analytic-numerical solution of random boundary value heat problems in a semi-infinite bar

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Analytic-numerical solution of random boundary value heat problems in a semi-infinite bar

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Nombre: -M.-C. Casabán;Co ...
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dc.contributor.author Casabán Bartual, Mª Consuelo es_ES
dc.contributor.author Cortés López, Juan Carlos es_ES
dc.contributor.author García Mora, María Belén es_ES
dc.contributor.author Jódar Sánchez, Lucas Antonio es_ES
dc.date.accessioned 2016-04-27T08:00:27Z
dc.date.available 2016-04-27T08:00:27Z
dc.date.issued 2013
dc.identifier.issn 1085-3375
dc.identifier.uri http://hdl.handle.net/10251/63029
dc.description.abstract [EN] This paper deals with the analytic-numerical solution of random heat problems for the temperature distribution in a semi-infinite bar with different boundary value conditions. We apply a random Fourier sine and cosine transform mean square approach. Random operational mean square calculus is developed for the introduced transforms. Using previous results about random ordinary differential equations, a closed form solution stochastic process is firstly obtained. Then, expectation and variance are computed. Illustrative numerical examples are included. es_ES
dc.description.sponsorship This work has been partially supported by the Ministerio de Economia y Competitividad Grant no. DPI2010-20891-C02-01 and Universitat Politecnica de Valencia Grant no. PAID06-11-2070. en_EN
dc.language Inglés es_ES
dc.publisher Hindawi Publishing Corporation es_ES
dc.relation.ispartof Abstract and Applied Analysis es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Differential equations es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Analytic-numerical solution of random boundary value heat problems in a semi-infinite bar es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2013/676372
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//DPI2010-20891-C02-01/ES/MODELIZACION Y METODOS NUMERICOS, ALEATORIOS Y DETERMINISTAS, PARA EL FILTRADO DE PARTICULAS DIESEL EN MOTORES DE COMBUSTION INTERNA SOBREALIMENTADOS/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-06-11-2070/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Casabán Bartual, MC.; Cortés López, JC.; García Mora, MB.; Jódar Sánchez, LA. (2013). Analytic-numerical solution of random boundary value heat problems in a semi-infinite bar. Abstract and Applied Analysis. 2013(676372):1-9. https://doi.org/10.1155/2013/676372 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1155/2013/676372 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 9 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2013 es_ES
dc.description.issue 676372 es_ES
dc.relation.senia 254455 es_ES
dc.identifier.eissn 1687-0409
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.description.references Chiba, R. (2009). Stochastic heat conduction analysis of a functionally graded annular disc with spatially random heat transfer coefficients. Applied Mathematical Modelling, 33(1), 507-523. doi:10.1016/j.apm.2007.11.014 es_ES
dc.description.references Li, Y., & Long, S. (2009). A finite element model based on statistical two-scale analysis for equivalent heat transfer parameters of composite material with random grains. Applied Mathematical Modelling, 33(7), 3157-3165. doi:10.1016/j.apm.2008.10.018 es_ES
dc.description.references Cortés, J. C., Jódar, L., Villafuerte, L., & Villanueva, R. J. (2007). Computing mean square approximations of random diffusion models with source term. Mathematics and Computers in Simulation, 76(1-3), 44-48. doi:10.1016/j.matcom.2007.01.020 es_ES
dc.description.references Cortés, J.-C., Jódar, L., Roselló, M.-D., & Villafuerte, L. (2012). Solving initial and two-point boundary value linear random differential equations: A mean square approach. Applied Mathematics and Computation, 219(4), 2204-2211. doi:10.1016/j.amc.2012.08.066 es_ES
dc.description.references Madera, A. G. (1993). Modelling of stochastic heat transfer in a solid. Applied Mathematical Modelling, 17(12), 664-668. doi:10.1016/0307-904x(93)90077-t es_ES
dc.description.references Madera, A. G., & Sotnikov, A. N. (1996). Method for analyzing stochastic heat transfer in a fluid flow. Applied Mathematical Modelling, 20(8), 588-592. doi:10.1016/0307-904x(96)00006-6 es_ES
dc.description.references Villafuerte, L., Braumann, C. A., Cortés, J.-C., & Jódar, L. (2010). Random differential operational calculus: Theory and applications. Computers & Mathematics with Applications, 59(1), 115-125. doi:10.1016/j.camwa.2009.08.061 es_ES
dc.description.references Calbo, G., Cortés, J.-C., & Jódar, L. (2011). Random Hermite differential equations: Mean square power series solutions and statistical properties. Applied Mathematics and Computation, 218(7), 3654-3666. doi:10.1016/j.amc.2011.09.008 es_ES
dc.description.references Cortés, J. C., Sevilla-Peris, P., & Jódar, L. (2005). Analytic-numerical approximating processes of diffusion equation with data uncertainty. Computers & Mathematics with Applications, 49(7-8), 1255-1266. doi:10.1016/j.camwa.2004.05.015 es_ES


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