Can this package be used to solve the Grad-Shafranov equation 
<https://en.wikipedia.org/wiki/Grad%E2%80%93Shafranov_equation>? 


On Wednesday, September 16, 2015 at 3:33:22 PM UTC-7, Sheehan Olver wrote:
>
>
> ApproxFun is a package for approximating and solving differential 
> equations. ApproxFun v0.0.8 Adds (experimental) support for solving 
> nonlinear ODEs, using Newton iteration and automatic differentiation.  The 
> following example solves and plots a singularly perturbed nonlinear 
> two-point boundary value problem
>
> x=Fun()
> u0=0.x  # The initial guess for Newton iteration
>
> N=u->[u[-1.]-1.,u[1.]+0.5,0.001u''+6*(1-x^2)*u'+u^2-1.]
> u=newton(N,u0)
>
> ApproxFun.plot(u)  # Requires PyPlot or Gadfly
>
>
>
> Note: previous support for approximating functions on a disk has been 
> moved to a separate package:
>
>      https://github.com/ApproxFun/DiskFun.jl
>
> And this will be the last version to support Julia 0.3!  
>
>

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