Abstract
This papers introduces a procedure for solving a non-linear system of partial differential equations of the parabolic type with random coefficients. An adaptive method transforms the system into a set of ordinary differential equations which is solved after a suitable expansion of the probability density of the unknown random field in terms of orthogonal polynomials.
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© 1991 Computational Mechanics Publications
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Carlomusto, L., Pianese, A., de Socio, L.M. (1991). A Method for Solving the Diffusion Equation with Random Coefficients. In: Spanos, P.D., Brebbia, C.A. (eds) Computational Stochastic Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3692-1_28
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DOI: https://doi.org/10.1007/978-94-011-3692-1_28
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-698-0
Online ISBN: 978-94-011-3692-1
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