Mercurial > repos > public > sbplib

view +time/+rk4/rungekutta_4.m @ 845:1e057b0f2fed feature/burgers1d

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Add RK6 with residual viscosity update and reduce computational effort of spatial scheme - Add RK6 with residual updates - Change the D2 operator for upwind schemes to one less computationally expensive.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Wed, 19 Sep 2018 16:32:05 +0200
parents 48b6fb693025
children
line wrap: on
line source

% Takes one time step of size k using the rungekutta method
% starting from v_0 and where the function F(v,t) gives the
% time derivatives.
function v = rungekutta_4(v, t , k, F)
    k1 = F(v         ,t      );
    k2 = F(v+0.5*k*k1,t+0.5*k);
    k3 = F(v+0.5*k*k2,t+0.5*k);
    k4 = F(v+    k*k3,t+    k);
    v = v + (1/6)*(k1+2*(k2+k3)+k4)*k;
end