Abstract
In a recent paper [7], the first named author studied collocation for the numerical solution of singular two-point boundary-value problems. These methods were developed by considering certain projections onto finite dimensional linear spaces of singular nonpolynomial splines. The purpose of this note is to enhance the applicability of these methods by showing that the classes of singular splines used in [7] posses convenient local support bases which are of considerable advantage in the actual numerical computations. The construction of these local support splines is based on recent results of the second author [8] on generalized Tchebycheffian spline functions.
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