kdv_ift

kdv_ift, a Fortran90 code which uses the Inverse Fourier Transform (IFT) method to solve the Korteweg-DeVries equation, by Aly-Khan Kassam, Lloyd Trefethen.

Licensing:

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

Languages:

kdv_ift is available in a Fortran90 version and a MATLAB version and an Octave version.

Related Data and Programs:

kdv_ift_test

etdrk4, a Fortran90 code which uses the ETD RK4 method to solve systems of stiff ordinary differential equations (ODE), by Aly-Khan Kassam, Lloyd Trefethen.

fftpack5, a Fortran90 code which computes Fast Fourier Transforms (FFTs), by Paul Swarztrauber and Dick Valent;

Author:

Aly-Khan Kassam, Lloyd Trefethen; Modifications by John Burkardt.

Reference:

1. Stephen Cox, Paul Matthews,
   Exponential time differencing for stiff systems,
   Journal of Computational Physics,
   Volume 176, pages 430-455, 2002.
2. Aly-Khan Kassam, Lloyd Trefethen,
   Fourth-order time-stepping for stiff ODE's,
   SIAM Journal on Scientific Computing,
   Volume 26, Number 4, pages 1214-1233, 2005.
3. Lloyd Trefethen,
   Spectral methods in MATLAB,
   SIAM, 2000,
   LC: QA377.T65
   ISBN: 978-0-898714-65-4

Source Code:

• kdv_ift.f90, the source code.
• kdv_ift.sh, compiles the source code.