Mercurial > repos > public > sbplib
comparison +time/Rungekutta4SecondOrder.m @ 0:48b6fb693025
Initial commit.
| author | Jonatan Werpers <jonatan@werpers.com> |
|---|---|
| date | Thu, 17 Sep 2015 10:12:50 +0200 |
| parents | |
| children | b18d3d201a71 |
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| -1:000000000000 | 0:48b6fb693025 |
|---|---|
| 1 classdef Rungekutta4SecondOrder < time.Timestepper | |
| 2 properties | |
| 3 F | |
| 4 k | |
| 5 t | |
| 6 w | |
| 7 m | |
| 8 D | |
| 9 E | |
| 10 S | |
| 11 M | |
| 12 C | |
| 13 n | |
| 14 end | |
| 15 | |
| 16 | |
| 17 methods | |
| 18 function obj = Rungekutta4SecondOrder(D, E, S, k, t0, v0, v0t) | |
| 19 obj.D = D; | |
| 20 obj.E = E; | |
| 21 obj.S = S; | |
| 22 obj.m = length(v0); | |
| 23 | |
| 24 I = speye(obj.m); | |
| 25 O = sparse(obj.m,obj.m); | |
| 26 obj.M = [O, I; D, E*I]; % Multiply with I to allow 0 as input. | |
| 27 | |
| 28 if S == 0 | |
| 29 obj.C = zeros(2*obj.m,1); | |
| 30 else | |
| 31 obj.C = [zeros(obj.m,1), S]; | |
| 32 end | |
| 33 | |
| 34 obj.k = k; | |
| 35 obj.t = t0; | |
| 36 obj.w = [v0; v0t]; | |
| 37 | |
| 38 obj.F = @(w,t)(obj.M*w + obj.C); | |
| 39 end | |
| 40 | |
| 41 function [v,t] = getV(obj) | |
| 42 v = obj.w(1:end/2); | |
| 43 t = obj.t; | |
| 44 end | |
| 45 | |
| 46 function [vt,t] = getVt(obj) | |
| 47 vt = obj.w(end/2+1:end); | |
| 48 t = obj.t; | |
| 49 end | |
| 50 | |
| 51 function obj = step(obj) | |
| 52 obj.w = time.rk4.rungekutta_4(obj.w, obj.t, obj.k, obj.F); | |
| 53 obj.t = obj.t + obj.k; | |
| 54 obj.n = obj.n + 1; | |
| 55 end | |
| 56 end | |
| 57 | |
| 58 | |
| 59 methods (Static) | |
| 60 function k = getTimeStep(lambda) | |
| 61 k = rk4.get_rk4_time_step(lambda); | |
| 62 end | |
| 63 end | |
| 64 | |
| 65 end |
