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We compare three different methods to obtain solutions of Sturm-Liouvilleproblems: a successive approximation method and two other iterative methods. Welook for solutions with periodic or anti periodic boundary conditions. Withsome numerical test over the Mathieu equation, we compare the efficiency ofthese three methods. As an application, we make a numerical analysis on a modelfor carbon nanotubes.

Approximation methods for the calculation of eigenvalues in ODE with periodic or anti periodic boundary conditions: Application to nanotubes