In this paper, we combine the sinc and self-consistent methods to solve
a class of non-linear eigenvalue differential equations. Some properties
of the self-consistent and sinc methods required for our subsequent
development are given and employed. Numerical examples are included to
demonstrate the validity and applicability of the introduced technique
and a comparison is made with the existing results. The method is easy
to implement and yields accurate results. We show that the
sinc-self-consistent method can solve the equations on an infinite
domain and produces the smallest eigenvalue with the most accuracy