BurgersSys_A.m

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namespace models{
namespace burgers{


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class BurgersSys_A
  :public models.BaseFirstOrderSystem {
    public:

        
    public:

        BurgersSys_A(models.BaseFullModel model) {
            this = this@models.BaseFirstOrderSystem(model);

            /*  Set core function */
            this.f= models.burgers.BurgersF_NoA(this);

            this.addParam(" v ", .5," Range ", [0, 1], " Desired ", 100);
        }


        function  newDim() {
            this.updateDimensions;
        }

    
    protected:

        function  updateDimensions() {
            m = this.Model;
            xs  = linspace(m.Omega(1), m.Omega(2), m.Dimension+2)^t;
            f = @(x)exp(-(15.*(x-.5)).^2);
            x = xs(2:m.Dimension+1);
            x0 = f(x)-f(0);
            this.x0= dscomponents.ConstInitialValue(x0);

            n = m.Dimension;
            dx = (m.Omega(2) - m.Omega(1))/(n+1);
            e = ones(n,1);
            d2 = e/(dx^2);

            a = dscomponents.AffLinCoreFun(this);
            a.addMatrix(" mu(1) ",spdiags([d2 -2*d2  d2], -1:1, n, n));
            this.A= a; 

            this.NumStateDofs= n;

            this.f.newDim;

            updateDimensions@models.BaseFirstOrderSystem(this);
        }

    

};
}
}