  Nonlocality in the scattering potential leads to an integro-differential
equation.In this equation nonlocality enters through an integral over the
nonlocal potential kernel. The resulting Schroedinger equation is usually
handled by approximating r,r'-dependence of the nonlocal kernel. The present
work proposes a novel method to solve the integro-differential equation. The
method, using the mean value theorem of integral calculus, converts the
nonhomogeneous term to a homogeneous term. The effective local potential in
this equation turns out to be energy independent, but has relative angular
momentum dependence. This method has high accuracy and is valid for any form of
nonlocality. As illustrative examples, the total and differential cross
sections for neutron scattering off 12C, 56Fe and 100Mo nuclei are calculated
with this method in the low energy region (up to 10 MeV) and are found to be in
good accord with the experiments.
