  In this study, we present analytical solutions of the Schr\"odinger equation
with the Multiparameter potential containing the different types of physical
potential via the asymptotic iteration method (AIM) by applying a Pekeris-type
approximation to the centrifugal potential. For any n and l (states) quantum
numbers, we get the bound state energy eigenvalues numerically and the
corresponding eigenfunctions.Furthermore, we compare our results with the ones
obtained in previous works and it is seen that our numerical results are in
good agreement with the literature.
