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The Use of Cubic Spline Functions to Two-point Boundary Value Problems

G. Hobot — 1992

Mathematica Applicanda

In this paper we consider an algorithm for cubic spline function approximation of the solution of two-point boundary value problem for second order linear ordinary differential equation. This algorithm requires O(N) arithmetical operations, where N is the number of subdivisions of considered interval. Error bounds for the solution are derived and numerical examples are given.

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