fd1d_heat_explicit_test

fd1d_heat_explicit_test, a C++ code which calls fd1d_heat_explicit() to solve the time-dependent 1D heat equation, using the finite difference method in space, and an explicit version of the method of lines to handle integration in time.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and Programs:

fd1d_heat_explicit, a C++ code which uses the finite difference method (FDM) and explicit time stepping to solve the time dependent heat equation in 1D.

Source Code:

• fd1d_heat_explicit_test.cpp, a sample calling program.
• fd1d_heat_explicit_test.sh, runs all the tests.
• fd1d_heat_explicit_test.txt, the output file.

TEST01 runs with initial condition 50 everywhere, boundary conditions of 90 on the left and 70 on the right, and no right hand side source term.

• plot_test01.png, a PNG image of the solution, using the MATLAB MESH command to emphasize the method of lines approach underlying the solution.
• h_test01.txt, the computed H data.
• t_test01.txt, the T data.
• x_test01.txt, the X data.