The Taylor expansion procedure introduced by Apagyi and Scheid (1983 J. Phy
s. G: Nucl. Phys. 9 73) for localization of nonlocal potentials has been re
-examined and improved to include third-order corrections. The method has b
een applied to the real part of the nonlocal potential describing n-Ca-40 s
cattering. Comparison with exact results and investigation of phase shifts
show that inclusion of second-order correction terms may be sufficient to o
btain a quick assessment of the local space effect of the underlying nonloc
al potential.