fd1d_heat_implicit_test

fd1d_heat_implicit_test, a C++ code which calls fd1d_heat_implicit() to solve the time-dependent 1D heat equation, using the finite difference method in space, and an implicit 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_implicit, a C++ code which uses the finite difference method (FDM) and implicit time stepping to solve the time dependent heat equation in 1D.

Source Code:

• fd1d_heat_implicit_test.sh, runs all the tests.
• fd1d_heat_implicit_test.txt, the output file.

• x.txt a file containing the spatial coordinates.
• t.txt a file containing the times.
• u.txt a file containing the values of the computed solution at each point X and time T.
• solution.png a PNG image of the MATLAB graphics created by the commands:

              x = load ( 'x.txt' );
              t = load ( 't.txt' );
              u = load ( 'u.txt' );
              [ xg, tg ] = meshgrid ( x, t );
              mesh ( xg, tg, u );