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view +time/+rk/rungekutta_4RV.m @ 846:c6fcee3fcf1b feature/burgers1d
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> |
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date | Thu, 20 Sep 2018 17:51:19 +0200 |
parents | +time/+rk4/rungekutta_4RV.m@f63b99f0729d |
children |
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% 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_4RV(v, t , k, F, RV) k1 = F(v, t, RV.getViscosity()); RV.update(v+0.5*k*k1, v, 0.5*k); k2 = F(v+0.5*k*k1, t+0.5*k, RV.getViscosity()); RV.update(v+0.5*k*k2, v, 0.5*k); k3 = F(v+0.5*k*k2, t+0.5*k, RV.getViscosity()); RV.update(v+k*k3, v, k); k4 = F(v+k*k3,t+k, RV.getViscosity()); RV.update(v + (1/6)*(k1+2*(k2+k3)+k4)*k, v, k); v = v + (1/6)*(k1+2*(k2+k3)+k4)*k; end