comparison +time/Rungekutta4SecondOrder.m @ 984:0585a2ee7ee7 feature/timesteppers

Inline the rk.rungekutta_4 function.
author Jonatan Werpers <jonatan@werpers.com>
date Tue, 08 Jan 2019 12:19:33 +0100
parents f5e14e5986b5
children ad6de007e7f6
comparison
equal deleted inserted replaced
983:b89379fb0814 984:0585a2ee7ee7
97 vt = obj.w(end/2+1:end); 97 vt = obj.w(end/2+1:end);
98 t = obj.t; 98 t = obj.t;
99 end 99 end
100 100
101 function obj = step(obj) 101 function obj = step(obj)
102 obj.w = time.rk.rungekutta_4(obj.w, obj.t, obj.k, obj.F); 102 w = obj.w;
103 k = obj.k;
104
105 k1 = obj.F(t, w);
106 k2 = obj.F(t + 0.5*k, w + 0.5*k*k1);
107 k3 = obj.F(t + 0.5*k, w + 0.5*k*k2);
108 k4 = obj.F(t + k, w + k*k3);
109
110 obj.w = w + k*(1/6)*(k1+2*(k2+k3)+k4);
103 obj.t = obj.t + obj.k; 111 obj.t = obj.t + obj.k;
104 obj.n = obj.n + 1; 112 obj.n = obj.n + 1;
105 end 113 end
106 end 114 end
107 115