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!
