Convergence rates of different Spectral methods for linear boundary value problem

<p>Figure shows convergence rate comparation of different spectral methods for a linear BVP with Dirichlet boundary conditions.</p> <p>The main point is to show how Bernstein polynomial collocation compares to spectral methods based on Chebyshev polynomials.</p> <p>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.</p> <p>Free code for Bernstein polynomial collocation is available on the web - see link below.</p> <p>Also see another link below for discussion on scicomp.stackexchange Q&A site where the linear BVP in question has been formulated.