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The Computer Journal 1969 12(2):151-153; doi:10.1093/comjnl/12.2.151
© 1969 by British Computer Society
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Cubic spline solutions to two-point boundary value problems

E. L. Albasiny1 * and W. D. Hoskins2 §

1 Division of Numerical and Applied Mathematics, National Physical Laboratory, Teddington, UK, 2 Mathematics Department, Brunel University, Uxbridge, UK

The cubic spline approximation to a two-point boundary value problem for the differential equation y'' + f(x)y' + g(x)y = r(x) is shown to reduce to the solution of a three-term recurrence relationship. For the special case when f(x) is a constant, the approximation is shown to be simply related to a finite-difference representation and to have a local truncation error of order

[equation: see PDF]

.

Received July 1968.

* Division of Numerical and Applied Mathematics, National Physical Laboratory, Teddington, Middlesex

§ Mathematics Department, Brunel University, Uxbridge, Middlesex


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