STRING_SIMULATION
Vibrating String Simulation

STRING_SIMULATION is a FORTRAN77 program which simulates the behavior of a vibrating string by solving the corresponding initial boundary value problem (IBVP), creating files that can be displayed by gnuplot.

Licensing:

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

Languages:

STRING_SIMULATION is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

FD1D_WAVE, a FORTRAN77 program which applies the finite difference method to solve a version of the wave equation in one spatial dimension.

GNUPLOT, FORTRAN77 programs which illustrate how a program can write data and command files so that gnuplot can create plots of the program results.

HIGH_CARD_SIMULATION, a FORTRAN77 program which simulates a situation in which you see the cards in a deck one by one, and must select the one you think is the highest and stop; the program uses GNUPLOT for graphics.

Reference:

1. George Lindfield, John Penny,
   Numerical Methods Using MATLAB,
   Second Edition,
   Prentice Hall, 1999,
   ISBN: 0-13-012641-1,
   LC: QA297.P45.

Source Code:

• string_simulation.f, the source code.
• string_simulation.sh, BASH commands to compile, link and load the source code.

Examples and Tests:

• string_simulation_output.txt, the output file.
• string_data.txt, a data file containing the solution values.
• string_commands.txt, GNUPLOT commands that can create an image from the solution data file.
• string.png, an image of the solution as it changes over time.

List of Routines:

• MAIN is the main program for STRING_SIMULATION.
• F supplies the initial condition.
• G supplies the initial time derivative.
• TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the FORTRAN77 source codes.