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comparison +time/+rk/rungekutta_4.m @ 846:c6fcee3fcf1b feature/burgers1d

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Add generalized RungeKutta and RungeKuttaRV class which extracts its coefficients from a butcher tableau, specified on the scheme.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 20 Sep 2018 17:51:19 +0200
parents +time/+rk4/rungekutta_4.m@48b6fb693025
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845:1e057b0f2fed 846:c6fcee3fcf1b
1 % Takes one time step of size dt using the rungekutta method
2 % starting from v_0 and where the function F(v,t) gives the
3 % time derivatives.
4 function v = rungekutta_4(v, t , dt, F)
5 k1 = F(v ,t );
6 k2 = F(v+0.5*dt*k1,t+0.5*dt);
7 k3 = F(v+0.5*dt*k2,t+0.5*dt);
8 k4 = F(v+ dt*k3,t+ dt);
9 v = v + (1/6)*(k1+2*(k2+k3)+k4)*dt;
10 end