I am trying to solve a first order PDE to which I know the solution $2u_x +
u_y = 0$ with boundary condition $u(x,0) = exp{-x^2}$. The solution is
$exp{-(x-2t)^2}$. I have tried the code below
Pkg.checkout("ApproxFun")
using ApproxFun
d = domain(Fun(identity,[0.0,1.0]))
f = Fun(x->exp(-x^2),d)
D = Derivative(d)
L = 2.0D⊗I+I⊗D
u = [dirichlet(d^2),L]\[f]
but I get endless
WARNING: Maximum number of iterations 100000 reached
WARNING: Maximum number of iterations 100000 reached
WARNING: Maximum number of iterations 100000 reached
Any help would be gratefully received.
