Pseudospectral versus Galerkin methods: Fourth order equations.

We prove the convergence of an innovative Chebyshev–Gauss–Lobatto (CGL) pseudospectral method applied to fourth order boundary value problems. The proposed method enjoyed all the advantages of pseudospectral methods. Moreover, we can select (N − 3) interior CGL collocation points to enforce the equation, meanwhile we use the remaining four collocation points to assure the boundary conditions. [ABSTRACT FROM AUTHOR]