view +time/Rungekutta4.m @ 1198:2924b3a9b921 feature/d2_compatible

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 ef5c9870f386
children b5e5b195da1e c6fcee3fcf1b
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classdef Rungekutta4 < time.Timestepper
    properties
        D
        S
        F
        k
        t
        v
        m
        n
    end


    methods
        function obj = Rungekutta4(D, S, k, t0, v0)
            obj.D = D;
            obj.k = k;
            obj.t = t0;
            obj.v = v0;
            obj.m = length(v0);
            obj.n = 0;

            if S == 0
                obj.S = zeros(obj.m,1);
            else
                obj.S = S;
            end

            if S == 0
                obj.F = @(v,t)(obj.D*v);
            else
                obj.F = @(v,t)(obj.D*v + obj.S);
            end
        end

        function [v,t] = getV(obj)
            v = obj.v;
            t = obj.t;
        end

        function obj = step(obj)
            obj.v = time.rk4.rungekutta_4(obj.v, obj.t, obj.k, obj.F);
            obj.t = obj.t + obj.k;
            obj.n = obj.n + 1;
        end
    end


    methods (Static)
        function k = getTimeStep(lambda)
            k = rk4.get_rk4_time_step(lambda);
        end
    end

end