Cubic Spline solutions to Fourth-order Boundary Value Problems

The cubic spline approximation to the fourth-order
differential equation y''''+p(x)y''+q(x)y'+r(x)y=t(x) 
is shown to reduce to the solution of a five-term recurrence
relationship.  For some special cases the 
approximation is shown to be simply related to a finite
difference representation with a local truncation 
error of order (y/720)delta^8.

CACM June, 1973

Hoskins, W. D.

cubic spline, differential equations, boundary value problem

5.13 5.17

CA730613 JB January 23, 1978  1:44 PM

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