5 papers · 1 filter
Second order linear differential equations with analytic uncertainties: stochastic analysis via the computation of the probability density function
Marc Jornet, Julia Calatayud, Olivier P. Le Ma^itre +1
This paper concerns the analysis of random second order linear differential equations. Usually, solving these equations consists of computing the first statistics of the response p…
Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation technique
J. -C. Cortés, A. Navarro-Quiles, J. -V. Romero +1
This paper deals with the study, from a probabilistic point of view, of logistic-type differential equations with uncertainties. We assume that the initial condition is a random va…
Solving the Random Pielou Logistic Equation with the Random Variable Transformation Technique: Theory and Applications
J. -C. Cortés, A. Navarro-Quiles, J. -V. Romero +1
The study of the dynamics of the size of a population via mathematical modelling is a problem of interest and widely studied. Traditionally, continuous deterministic methods based…
On the approximation of the probability density function of the randomized heat equation
J. Calatayud, J. -C. Cortes, M. Jornet
In this paper we study the randomized heat equation with homogeneous boundary conditions. The diffusion coeffcient is assumed to be a random variable and the initial condition is t…
On the approximation of the probability density function of the randomized non-autonomous complete linear differential equation
J. Catatayud, J. -C. Cortes, M. Jornet
In this paper we study the randomized non-autonomous complete linear differential equation. The diffusion coefficient and the source term in the differential equation are assumed t…