Abstract:
The problem of finding the moment functions of a solution
of an initial-value problem with random coefficients
for the two-dimensional diffusion equation reduces
to a deterministic initial-value problem involving ordinary
and variational derivatives.
Formulae for the moment functions of a solution are obtained
for uniformly distributed and for Gaussian random coefficients.
Keywords:diffusion equation, moment functions, variational derivative, equations with random coefficients.
Fulltext:
PDF file (579 kB)
