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Yayın Application of least square method to numerical solution of second-order boundary value problems(Maltepe Üniversitesi, 2009) Loghmani, G. B.The numerical solution of second order linear and nonlinear boundary value problems with a general Sturm-Liouville boundary conditions is considered. A second degree B-spline functions is used to construct the numerical method. E.H.Twizell, H.N.Caglar and S.H.Caglar used a collocation method and B-spline functions of one degree higher of order of boundary value problems. But we use B-spline functions of same degree of the order of boundary value problems we will show that for every ? > 0, there exist an approximate solution v? such that the least square error is less than ? > 0 and v? satisfies the exact boundary conditions.
