biharmonic_fd2d


biharmonic_fd2d, an Octave code which deals with the biharmonic equation in two dimensions, whose simplest form is uxxxx + 2uxxyy + uyyyy = f.

Licensing:

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

Languages:

biharmonic_fd2d is available in a Fortran77 version and a MATLAB version and an Octave version.

Related Data and Programs:

biharmonic_fd2d_test

biharmonic_cheby1d, an Octave code which uses Chebyshev methods to solve the biharmonic equation over an interval, a fourth order two point boundary value problem (BVP) in one spatial dimension.

biharmonic_fd1d, an Octave code which applies the finite difference method to solve the biharmonic equation over an interval, a fourth order two point boundary value problem (BVP) in one spatial dimension.

Reference:

  1. Louis Ehrlich, Murli Gupta,
    Some difference schemes for the biharmonic equation,
    SIAM Journal on Numerical Analysis,
    Volume 12, Number 5, October 1975, pages 773-790.
  2. Lloyd Trefethen,
    Spectral methods in MATLAB,
    SIAM, 2000,
    ISBN: 0898714656,
    LC: QA377.T65.

Source Code:


Last modified on 12 June 2023.