biharmonic_exact

biharmonic_exact, a MATLAB code which evaluates exact solutions w(x,y) to the biharmonic equation del^2 w = 0 or wxxxx + 2 wxxyy + wyyyy = 0

Three exact solutions are provided here.

Licensing:

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

Languages:

biharmonic_exact is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

biharmonic_exact_test

matlab_exact, a MATLAB code which evaluates exact solutions to a few selected examples of ordinary differential equations (ODE) and partial differential equations (PDE).

Source Code:

• biharmonic_exact_r1.m, evaluates the residual for exact solution #1.
• biharmonic_exact_r2.m, evaluates the residual for exact solution #2.
• biharmonic_exact_r3.m, evaluates the residual for exact solution #3.
• biharmonic_exact_w1.m, evaluates the exact solution #1.
• biharmonic_exact_w2.m, evaluates the exact solution #2.
• biharmonic_exact_w3.m, evaluates the exact solution #3.