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Add boot-strapping to RungeKuttaExteriorRV - Higher order BDF approximations are successively used as increasing number of time levels are obtained.
author Vidar Stiernström <vidar.stiernstrom@it.uu.se>
date Thu, 06 Dec 2018 11:30:47 +0100
parents 151ab2b5a686
children 8894e9c49e40 c9009d5a3101
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1 classdef Cdiff < time.Timestepper
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2 properties
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3 D
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4 E
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5 S
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6 k
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7 t
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8 v
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9 v_prev
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10 n
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11 end
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12
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14 methods
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15 % Solves u_tt = Du + Eu_t + S
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16 % D, E, S can either all be constants or all be function handles,
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17 % They can also be omitted by setting them equal to the empty matrix.
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18 % Cdiff(D, E, S, k, t0, n0, v, v_prev)
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19 function obj = Cdiff(D, E, S, k, t0, n0, v, v_prev)
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20 m = length(v);
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21 default_arg('E',sparse(m,m));
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22 default_arg('S',sparse(m,1));
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23
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24 obj.D = D;
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25 obj.E = E;
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26 obj.S = S;
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29 obj.k = k;
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30 obj.t = t0;
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31 obj.n = n0;
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32 obj.v = v;
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33 obj.v_prev = v_prev;
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34 end
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35
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36 function [v,t] = getV(obj)
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37 v = obj.v;
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38 t = obj.t;
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39 end
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41 function [vt,t] = getVt(obj)
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42 vt = (obj.v-obj.v_prev)/obj.k; % Could be improved using u_tt = f(u))
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43 t = obj.t;
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44 end
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45
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46 function obj = step(obj)
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47 [obj.v, obj.v_prev] = time.cdiff.cdiff(obj.v, obj.v_prev, obj.k, obj.D, obj.E, obj.S);
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48 obj.t = obj.t + obj.k;
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49 obj.n = obj.n + 1;
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50 end
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51 end
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52 end