Dinamik sistemlerin çözümleri

The main purpose of this work is to apply two different methods for ? nding the behaviour of the eigenvalues and corresponding eigenfunctions of the Bratu problem which has strongly non-linear term. For this reason, we use two variational methods, such as the variational iteration method and the Rayleigh-Ritz method. The results shows that, we can ? nd the behaviour of the eigenvalues and eigenfunctions of the Bratu problem by using the two methods ef ? ciently.