**fem2d_heat_sparse_test**,
a MATLAB code which
calls fem2d_heat_sparse(), which
computes a solution of the heat equation on a specific square region.

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

fem2d_heat_sparse, a MATLAB code which solves the time dependent heat equation in an arbitrary triangulated 2D region, using MATLAB's sparse matrix storage format and solver.

- fem2d_heat_sparse_test.m, calls all the tests.
- fem2d_heat_sparse_test.sh, runs all the tests.
- fem2d_heat_sparse_test.txt, the output file.

- dirichlet_condition.m, the user-supplied routine to evaluate the boundary conditions;
- initial_condition.m, the user-supplied routines to evaluate the initial conditions;
- k_coef.m, the user-supplied routines to evaluate the linear coefficient.
- rhs.m, the user-supplied routines to evaluate the right hand side;
- square.txt, output from a run of the program;
- square_nodes.png, a PNG image of the 49 nodes;
- square_nodes.txt, a text file containing a list, for each node, of its X and Y coordinates;
- square_elements.png, a PNG image of the 32 elements;
- square_elements.txt, a text file containing a list, for each element, of the six nodes that compose it;

- square_time.txt, a text file containing the solution times;
- u0000.txt, the solution U at time step 0;
- u0001.txt, the solution U at time step 1;
- u0002.txt, the solution U at time step 2;
- u0003.txt, the solution U at time step 3;
- u0004.txt, the solution U at time step 4;
- u0005.txt, the solution U at time step 5;
- u0006.txt, the solution U at time step 6;
- u0007.txt, the solution U at time step 7;
- u0008.txt, the solution U at time step 8;
- u0009.txt, the solution U at time step 9;
- u0010.txt, the solution U at time step 10;

The MATLAB code **CONTOUR_SEQUENCE4** can make contour
plots from the sequence of solutions:

- u0000.png, the solution U at time step 0;
- u0001.png, the solution U at time step 1;
- u0002.png, the solution U at time step 2;
- u0003.png, the solution U at time step 3;
- u0004.png, the solution U at time step 4;
- u0005.png, the solution U at time step 5;
- u0006.png, the solution U at time step 6;
- u0007.png, the solution U at time step 7;
- u0008.png, the solution U at time step 8;
- u0009.png, the solution U at time step 9;
- u0010.png, the solution U at time step 10;