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Listar por palabra clave "Random differential equation"

Mostrando ítems 1-16 de 16

Beyond the hypothesis of boundedness for the random coefficient of Airy, Hermite and Laguerre differential equations with uncertainties

Calatayud Gregori, Julia; Cortés, J.-C.; Jornet Sanz, Marc (Taylor & Francis, 2020-09-02)

[EN] In this work, we study the full randomized versions of Airy, Hermite and Laguerre differential equations, which depend on a random variable appearing as an equation coefficient as well as two random initial conditions. ...
Computing the density function of complex models with randomness by using polynomial expansions and the RVT technique. Application to the SIR epidemic model

Calatayud, Julia; Cortés, J.-C.; Jornet, Marc (Elsevier, 2020-04)

[EN] This paper concerns the computation of the probability density function of the stochastic solution to general complex systems with uncertainties formulated via random differential equations. In the existing literature, ...
Constructing mean square approximations of decomposable space-time uncertainty diffusion models

Cortés, J.-C.; Jódar Sánchez, Lucas Antonio; Romero Bauset, José Vicente; Villafuerte, L. (Asian Academic Publisher, 2012)

[EN] In this paper mixed diffusion models under decomposable space-time uncertainty are studied. Existence conditions for constructing a mean square convergent series stochastic solution process are given. Methods for ...
Improving Kernel Methods for Density Estimation in Random Differential Equations Problems

Cortés, J.-C.; Jornet Sanz, Marc (MDPI AG, 2020-06)

[EN] Kernel density estimation is a non-parametric method to estimate the probability density function of a random quantity from a finite data sample. The estimator consists of a kernel function and a smoothing parameter ...
La resonancia magnética y el proceso de obtención de imágenes en resonancia magnética. Introduciendo los sistemas de ecuaciones diferenciales aleatorios en el modelo de ecuaciones de Bloch

Catalán Capaccioni, César (Universitat Politècnica de València, 2018-10-22)

[ES] El proceso de obtención de imágenes por resonancia (MRI) es un procedimiento diagnóstico no invasivo del escáner de resonancia magnética para obtener secciones de imágenes detalladas de la estructura interna de nuestro ...
Laguerre random differential polynomials: definition, differential and statistical properties

Cortés, J.-C.; Jódar Sánchez, Lucas Antonio; Company Rossi, Rafael; Villafuerte, Laura (University of Manitoba - Department of Computer Science, 2015-11)

[EN] In this paper we introduce the Laguerre polynomials as mean square solutions of random differential equations. The study is based on the construction of an infinite random power series solution which becomes a random ...
Mathematical methods for the randomized non-autonomous Bertalanffy model

Calatayud, Julia; Caraballo, Tomás; Cortés, J.-C.; Jornet, Marc (Texas State University. Department of Mathematics, 2020-05-26)

[EN] In this article we analyze the randomized non-autonomous Bertalanffy model x' (t, omega) = a(t, omega)x(t, omega) b(t, omega)x(t, omega)(2/3), x(t(0), omega) = x(0)(omega), where a(t, omega) and b(t, omega) are ...
Mean Square Analytic Solutions of Random Linear Models

Calbo Sanjuán, Gema (Universitat Politècnica de València, 2010-11-02)

El objetivo de este proyecto de tesis doctoral es el desarrollo de técnicas analítico-numéricas para resolver, en media cuadrática problemas, de valores iniciales de ecuaciones y sistemas de ecuaciones en diferencias y ...
Mean square solution of Bessel differential equation with uncertainties

Cortés, J.-C.; Jódar Sánchez, Lucas Antonio; Villafuerte, Laura (Elsevier, 2017)

[EN] This paper deals with the study of a Bessel-type differential equation where input parameters (coefficient and initial conditions) are assumed to be random variables. Using the so-called Lp-random calculus and ...
Mean square solutions of random linear models and computation of their probability density function

Jornet Sanz, Marc (Universitat Politècnica de València, 2020-03-05)

[EN] This thesis concerns the analysis of differential equations with uncertain input parameters, in the form of random variables or stochastic processes with any type of probability distributions. In modeling, the input ...
Modeling population uncertainty using statistical moments

González Parra, Gilberto Carlos; Cortés, J.-C.; Villanueva Micó, Rafael Jacinto; Santonja, Francisco José (Sociedad de Estadística e Investigación Operativa, 2012-10)

[EN] In this paper a random differential equation system modeling population dynamics is investigated by means of the statistical moments equation. Monte Carlo simulations are performed in order to compare with the statistical ...
On the generalized logistic random differential equation: Theoretical analysis and numerical simulations with real-world data

Bevia, V.; Calatayud-Gregori, Julia; Cortés, J.-C.; Jornet-Sanz, Marc (Elsevier, 2023-01)

[EN] Based on the previous literature about the random logistic and Gompertz models, the aim of this paper is to extend the investigations to the generalized logistic differential equation in the random setting. First, ...
Probabilistic analysis of a class of impulsive linear random differential equations forced by stochastic processes admitting Karhunen-Loève expansions

Cortés, J.-C.; Delgadillo-Alemán, Sandra E.; Ku-Carrillo, Roberto A.; Villanueva Micó, Rafael Jacinto (American Institute of Mathematical Sciences, 2022-09)

[EN] We study a full randomization of the complete linear differential equation subject to an infinite train of Dirac's delta functions applied at different time instants. The initial condition and coefficients of the ...
Random Hermite differential equations: Mean square power series solutions and statistical properties

Calbo Sanjuán, Gema; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio (Elsevier, 2011-12-01)

This paper deals with the construction of random power series solution of second order linear differential equations of Hermite containing uncertainty through its coefficients and initial conditions. Under appropriate ...
Solving random diffusion models with nonlinear perturbations by the Wiener-Hermite expansion method

Cortés López, Juan Carlos; Romero Bauset, José Vicente; Roselló Ferragud, María Dolores; Santamaría Navarro, Cristina (Elsevier, 2011-04)

[EN] This paper deals with the construction of approximate series solutions of random nonlinear diffusion equations where nonlinearity is considered by means of a frank small parameter and uncertainty is introduced through ...
Solving the random Legendre differential equation: Mean square power series solution and its statistical functions

Calbo Sanjuán, Gema; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Villafuerte Altuzar, Laura (Elsevier, 2011-05)

In this paper we construct, by means of random power series, the solution of second order linear differential equations of Legendre-type containing uncertainty through its coefficients and initial conditions. By assuming ...