Hi, can someone tell me the difference between the Crank-Nicolson and Heun numerical methods? For Heun's method I'm looking here http://en.wikipedia.org/wiki/Heun's_method and for the Crank-Nicolson method I'm looking here http://en.wikipedia.org/wiki/Crank–Nicolson_method . When I actually carry out a calculation with equal timesteps for both methods and f(t,u)=-.5*u, I get the exact same solution.(adsbygoogle = window.adsbygoogle || []).push({});

The equation I have for both is:

u[tex]^{n+1}[/tex] = u[tex]^{n}[/tex] - [tex]\frac{1}{2}[/tex]u[tex]^{n}[/tex]dt - [tex]\frac{1}{8}[/tex]u[tex]^{n}[/tex]dt[tex]^{2}[/tex]

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Crank-Nicolson vs Heun's method

Loading...

Similar Threads - Crank Nicolson Heun's | Date |
---|---|

I Crank-Nicholson in 2D with MATLAB | May 23, 2016 |

Heat equation order of accuracy (Crank-Nicolson) | Jun 2, 2015 |

Crank-Nicolson method | Dec 12, 2014 |

Difference between Crank-Nicolson and Peaceman-Rachford Schemes with ADI | Oct 30, 2012 |

Diffusion-type equations with Crank-Nicolson method | Oct 14, 2012 |

**Physics Forums - The Fusion of Science and Community**