Title
The probability density function to the random linear transport equation
Abstract
We present a formula to calculate the probability density function of the solution of the random linear transport equation in terms of the density functions of the velocity and the initial condition. We also present an expression for the joint probability density function of the solution in two different points. Our results have shown good agreement with Monte Carlo simulations.
Year
DOI
Venue
2010
10.1016/j.amc.2010.03.001
Applied Mathematics and Computation
Keywords
Field
DocType
random linear transport equation,random velocity.,random velocity,probability density function,monte carlo simulation,joint probability density function,initial condition
Mathematical optimization,Random variable,Mathematical analysis,Characteristic function (probability theory),Symmetric probability distribution,Illustration of the central limit theorem,Probability distribution,Cumulative distribution function,Moment-generating function,Probability density function,Mathematics
Journal
Volume
Issue
ISSN
216
5
Applied Mathematics and Computation
Citations 
PageRank 
References 
10
0.79
7
Authors
3
Name
Order
Citations
PageRank
L. T. Santos1151.64
Fábio Antonio Dorini2416.92
M.C.C. Cunha3100.79