Analytical-Numerical Solution of a Parabolic Diffusion Equation Under Uncertainty Conditions Using DTM with Monte Carlo Simulations

Analytical-Numerical Solution of a Parabolic Diffusion Equation Under Uncertainty Conditions Using DTM with Monte Carlo Simulations

A numerical method to solve a general random linear parabolic equation where the diffusion coefficient, source term, boundary and initial conditions include uncertainty, is developed. Diffusion equations arise in many fields of science and engineering, and, in many cases, there are uncertainties du...

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Bibliographic Details
Main Authors: Gilberto González Parra, Abraham J Arenas, Miladys Cogollo
Format: Article
Language:English
Published: Universidad EAFIT 2015-08-01
Series:Ingeniería y Ciencia
Subjects:
random linear diffusion models
uncertainty conditions
fi- nite difference schemes
differential transformation method
analyticalnumerical solution.
Online Access:http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/2595

Internet

http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/2595

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