Mercurial > repos > public > sbplib
diff +time/+rk/rungekutta_4.m @ 887:50d5a3843099 feature/timesteppers
Rename package rk4 to rk
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Thu, 15 Nov 2018 16:42:58 -0800 |
parents | +time/+rk4/rungekutta_4.m@48b6fb693025 |
children |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/+time/+rk/rungekutta_4.m Thu Nov 15 16:42:58 2018 -0800 @@ -0,0 +1,10 @@ +% 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 \ No newline at end of file