stochastic_heat2d_test

stochastic_heat2d_test, a MATLAB code which calls stochastic_heat2d(), which solves the steady state heat equation in a 2D rectangular region with a stochastic heat diffusivity, using the finite difference method (FDM), and stochastic model from Babuska, Nobile and Tempone.

Licensing:

The information on this web page is distributed under the MIT license.

Related Data and Programs:

stochastic_heat2d, a MATLAB code which implements a finite difference method (FDM) for the steady 2D heat equation, with a stochastic heat diffusivity coefficient.

Source Code:

• stochastic_heat2d_test.m, calls all the tests..
• stochastic_heat2d_test.sh, runs all the tests..
• stochastic_heat2d_test.txt, the output file.

• example_solution.png an image of the solution corresponding to an example selection of OMEGA.
• mean_temperature.png an image of mean temperature as a function of OMEGA(1) and OMEGA(2).