Abstract
In the present paper we shall consider an application of simple non-polynomial splines to a numerical solution of a weakly singular two-point boundary value problem:x−α(x α y′)′=f(x,y), (0<x≤1) subject toy′(0)=0,y(1)=c1(α≥1) ory(0)=c2,y(1)=c3(0<α<1). Our collocation method gives a continuously differentiable approximation and isO(h2)-convergent.
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