Cubic spline solutions to two-point boundary value problems
Open Access
- 1 February 1969
- journal article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 12 (2) , 151-153
- https://doi.org/10.1093/comjnl/12.2.151
Abstract
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 orderKeywords
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