A density-functional perturbation approximation. which is based both on the
second-order perturbation theory of liquids and on the contact value theor
em for the pore, has been proposed to study the structural properties of a
Lennard-Jones fluid in a slit pore. The advantage of the present approximat
ion is that it is computationally simpler than the original density-functio
nal approximation based on the second-order perturbation theory of liquids.
The calculated result for the confined Lennard-Jones fluids is better than
those of a density-functional theory based on the so-called mean-field app
roximation and is in good agreement with the computer simulation. However,
its accuracy slightly deteriorates with increasing bulk density.