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Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense

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Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense

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Cortés, J.; Jornet, M. (2021). Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense. Mathematical Methods in the Applied Sciences. 44(2):2265-2272. https://doi.org/10.1002/mma.6921

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Título: Analytic solution to the generalized delay diffusion equation with uncertain inputs in the random Lebesgue sense
Autor: Cortés, J.-C. Jornet, Marc
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] In this paper, we deal with the randomized generalized diffusion equation with delay:u(t)(t, x) = a(2)u(xx)(t, x) + b(2)u(xx)(t - tau, x),t > tau,0 <= x <= l;u(t,0)=u(t,l)=0,t >= 0;u(t,x)=phi(t,x),0 <= t <= tau,0 <= ...[+]
Palabras clave: Expectation and variance approximation , Random generalized diffusion equation with delay , Random Lebesgue calculus , Series solution , Uncertainty quantification
Derechos de uso: Reserva de todos los derechos
Fuente:
Mathematical Methods in the Applied Sciences. (issn: 0170-4214 )
DOI: 10.1002/mma.6921
Editorial:
John Wiley & Sons
Versión del editor: https://doi.org/10.1002/mma.6921
Código del Proyecto:
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89664-P/ES/PROBLEMAS DINAMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACION MATEMATICA, ANALISIS, COMPUTACION Y APLICACIONES/
Agradecimientos:
Secretaria de Estado de Investigacion, Desarrollo e Innovacion, Grant/Award Number: MTM2017-89664-P; Spanish Ministerio de Economia, Industria y Competitividad (MINECO); Agencia Estatal de Investigacion (AEI); Fondo Europeo ...[+]
Tipo: Artículo

References

Smith, H. (2011). An Introduction to Delay Differential Equations with Applications to the Life Sciences. Texts in Applied Mathematics. doi:10.1007/978-1-4419-7646-8

Driver, R. D. (1977). Ordinary and Delay Differential Equations. Applied Mathematical Sciences. doi:10.1007/978-1-4684-9467-9

Kolmanovskii, V., & Myshkis, A. (1999). Introduction to the Theory and Applications of Functional Differential Equations. doi:10.1007/978-94-017-1965-0 [+]
Smith, H. (2011). An Introduction to Delay Differential Equations with Applications to the Life Sciences. Texts in Applied Mathematics. doi:10.1007/978-1-4419-7646-8

Driver, R. D. (1977). Ordinary and Delay Differential Equations. Applied Mathematical Sciences. doi:10.1007/978-1-4684-9467-9

Kolmanovskii, V., & Myshkis, A. (1999). Introduction to the Theory and Applications of Functional Differential Equations. doi:10.1007/978-94-017-1965-0

Wu, J. (1996). Theory and Applications of Partial Functional Differential Equations. Applied Mathematical Sciences. doi:10.1007/978-1-4612-4050-1

Diekmann, O., Verduyn Lunel, S. M., van Gils, S. A., & Walther, H.-O. (1995). Delay Equations. Applied Mathematical Sciences. doi:10.1007/978-1-4612-4206-2

Hale, J. K. (1977). Theory of Functional Differential Equations. Applied Mathematical Sciences. doi:10.1007/978-1-4612-9892-2

Travis, C. C., & Webb, G. F. (1974). Existence and stability for partial functional differential equations. Transactions of the American Mathematical Society, 200, 395-395. doi:10.1090/s0002-9947-1974-0382808-3

Bocharov, G. A., & Rihan, F. A. (2000). Numerical modelling in biosciences using delay differential equations. Journal of Computational and Applied Mathematics, 125(1-2), 183-199. doi:10.1016/s0377-0427(00)00468-4

Jackson, M., & Chen-Charpentier, B. M. (2017). Modeling plant virus propagation with delays. Journal of Computational and Applied Mathematics, 309, 611-621. doi:10.1016/j.cam.2016.04.024

Chen-Charpentier, B. M., & Diakite, I. (2016). A mathematical model of bone remodeling with delays. Journal of Computational and Applied Mathematics, 291, 76-84. doi:10.1016/j.cam.2014.11.025

ErneuxT.Applied Delay Differential Equations Surveys and Tutorials in the Applied Mathematical Sciences Series:Springer New York;2009.

Kyrychko, Y. N., & Hogan, S. J. (2010). On the Use of Delay Equations in Engineering Applications. Journal of Vibration and Control, 16(7-8), 943-960. doi:10.1177/1077546309341100

Matsumoto, A., & Szidarovszky, F. (2009). Delay Differential Nonlinear Economic Models. Nonlinear Dynamics in Economics, Finance and Social Sciences, 195-214. doi:10.1007/978-3-642-04023-8_11

Harding, L., & Neamţu, M. (2016). A Dynamic Model of Unemployment with Migration and Delayed Policy Intervention. Computational Economics, 51(3), 427-462. doi:10.1007/s10614-016-9610-3

Xiu, D. (2010). Numerical Methods for Stochastic Computations. doi:10.2307/j.ctv7h0skv

Le Maître, O. P., & Knio, O. M. (2010). Spectral Methods for Uncertainty Quantification. Scientific Computation. doi:10.1007/978-90-481-3520-2

NeckelT RuppF.Random Differential Equations in Scientific Computing. Walter de Gruyter;2013.

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

Calatayud, J., Cortés, J.-C., & Jornet, M. (2019). Improving the Approximation of the First- and Second-Order Statistics of the Response Stochastic Process to the Random Legendre Differential Equation. Mediterranean Journal of Mathematics, 16(3). doi:10.1007/s00009-019-1338-6

Licea, J. A., Villafuerte, L., & Chen-Charpentier, B. M. (2013). Analytic and numerical solutions of a Riccati differential equation with random coefficients. Journal of Computational and Applied Mathematics, 239, 208-219. doi:10.1016/j.cam.2012.09.040

Burgos, C., Calatayud, J., Cortés, J.-C., & Villafuerte, L. (2018). Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Applied Mathematics Letters, 78, 95-104. doi:10.1016/j.aml.2017.11.009

Calatayud, J., Cortés, J.-C., & Jornet, M. (2019). Random differential equations with discrete delay. Stochastic Analysis and Applications, 37(5), 699-707. doi:10.1080/07362994.2019.1608833

Calatayud, J., Cortés, J.-C., & Jornet, M. (2019). $$\mathrm {L}^p$$-calculus Approach to the Random Autonomous Linear Differential Equation with Discrete Delay. Mediterranean Journal of Mathematics, 16(4). doi:10.1007/s00009-019-1370-6

Martín, J. A., Rodríguez, F., & Company, R. (2004). Analytic solution of mixed problems for thegeneralized diffusion equation with delay. Mathematical and Computer Modelling, 40(3-4), 361-369. doi:10.1016/j.mcm.2003.10.046

Martínez-Cervantes, G. (2016). Riemann integrability versus weak continuity. Journal of Mathematical Analysis and Applications, 438(2), 840-855. doi:10.1016/j.jmaa.2016.01.054

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

Khusainov, D. Y., Ivanov, A. F., & Kovarzh, I. V. (2009). Solution of one heat equation with delay. Nonlinear Oscillations, 12(2), 260-282. doi:10.1007/s11072-009-0075-3

Calatayud, J., Cortés, J. C., & Jornet, M. (2018). Uncertainty quantification for random parabolic equations with nonhomogeneous boundary conditions on a bounded domain via the approximation of the probability density function. Mathematical Methods in the Applied Sciences, 42(17), 5649-5667. doi:10.1002/mma.5333

BotevZ RidderA.Variance reductionWiley StatsRef: Statistics Reference Online;2017:1–6.https://doi.org/10.1002/9781118445112.stat07975

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