Article ID Journal Published Year Pages File Type
4635286 Applied Mathematics and Computation 2007 8 Pages PDF
Abstract
We present a numerical scheme, based on Godunov's method (REA algorithm), for the variance of the solution of the 1D random linear transport equation, with homogeneous random velocity and stochastic initial condition. We obtain the stability conditions of the method and we also show its consistency with a deterministic nonhomogeneous advective-diffusive equation, which means convergency. Numerical results are considered to validate our scheme.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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