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annotate +time/CdiffTimeDep.m @ 1198:2924b3a9b921 feature/d2_compatible

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Add OpSet for fully compatible D2Variable, created from regular D2Variable by replacing d1 by first row of D1. Formal reduction by one order of accuracy at the boundary point.
author Martin Almquist <malmquist@stanford.edu>
date Fri, 16 Aug 2019 14:30:28 -0700
parents 151ab2b5a686
children 8894e9c49e40
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1 classdef CdiffTimeDep < 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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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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14 methods
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15 % Solves u_tt = Du + E(t)u_t + S(t)
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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 % CdiffTimeDep(D, E, S, k, t0, n0, v, v_prev)
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19 function obj = CdiffTimeDep(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', @(t)sparse(m,m));
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22 default_arg('S', @(t)sparse(m,1));
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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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28 obj.k = k;
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29 obj.t = t0;
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30 obj.n = n0;
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31 obj.v = v;
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32 obj.v_prev = v_prev;
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33 end
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35 function [v,t] = getV(obj)
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36 v = obj.v;
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37 t = obj.t;
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38 end
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40 function [vt,t] = getVt(obj)
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41 vt = (obj.v-obj.v_prev)/obj.k; % Could be improved using u_tt = f(u))
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42 t = obj.t;
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43 end
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45 function obj = step(obj)
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46 [obj.v, obj.v_prev] = time.cdiff.cdiff(obj.v, obj.v_prev, obj.k, obj.D, obj.E(obj.t), obj.S(obj.t));
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47 obj.t = obj.t + obj.k;
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48 obj.n = obj.n + 1;
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49 end
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