  In this paper we study the finite temperature dependent Schr\"{o}dinger
equation by using the Nikiforov-Uvarov method. We consider the sum of Cornell,
inverse quadratic and harmonic type potential as the potential part of the
radial Schr\"{o}dinger equation. Analytical expressions for the energy
eigenvalues and the radial wave function are presented. Application of the
results for the heavy quarkonia and $B_c$ meson masses are well agreement with
the current experimental data whereas zero angular momentum quantum numbers.
Numerical results for the temperature dependence indicates different behaviour
for different quantum numbers. Temperature dependent results are in agreement
with some QCD sum rules results for the ground states.
