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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.
biharmonic equation; chebyshev¿gauss¿lobatto collocation points; convergence; fourth order boundary value problems; galerkin method; pseudospectral method