Convergence rates of different Spectral methods for linear boundary value problem
Figure shows convergence rate comparation of different spectral methods for a linear BVP with Dirichlet boundary conditions.
The main point is to show how Bernstein polynomial collocation compares to spectral methods based on Chebyshev polynomials.
Bernstein polynomials are not widely used for that purpose as some well-known orthogonal polynomials are, therefore the purpose here is to bring some more attention to them.
Free code for Bernstein polynomial collocation is available on the web - see link below.
Also see another link below for discussion on scicomp.stackexchange Q&A site where the linear BVP in question has been formulated.