Finite-difference approximations for the first derivative, valid halfway between equidistant gridpoints, are in general much more accurate than the corresponding approximations, which are valid at ...
In this paper we consider a class of singular two-point boundary value problem: (xαu')' = f(x, u), u(0) = A, u(1) = B, 0 < α < 1. The asymptotic expression of the spline finite difference solution for ...