kdv_etdrk4

kdv_etdrk4, a MATLAB code which uses the exponential time differencing (ETD) RK4 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_etdrk4 is available in a MATLAB version and an Octave version.

Related Data and Programs:

kdv_etdrk4_test

kdv_ift, a MATLAB code which uses the IFT method to solve the Korteweg-DeVries equation, by Aly-Khan Kassam, Lloyd Trefethen.

Author:

Original MATLAB version by Aly-Khan Kassam, Lloyd Trefethen; This version 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_etdrk4.m, solves the Korteweg-deVries equation using the ETDRK4 method.