burgers_pde_etdrk4


burgers_pde_etdrk4, a MATLAB code which uses the exponential time differencing (ETD) RK4 method to solve the Burgers PDE as a system of stiff ordinary differential equations (ODE), by Aly-Khan Kassam, Lloyd Trefethen.

Licensing:

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

Languages:

burgers_pde_etdrk4 is available in a MATLAB version.

Related Data and Programs:

burgers_pde_etdrk4_test

kdv_etdrk4, a MATLAB code which uses the etdrk4() method to solve the Korteweg-DeVries equation, by Aly-Khan Kassam, Lloyd Trefethen.

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:


Last revised on 12 March 2024.