A Cubic Spline Technique for the One Dimensional Heat Conduction Equation
- 1 February 1973
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Applied Mathematics
- Vol. 11 (1) , 111-113
- https://doi.org/10.1093/imamat/11.1.111
Abstract
A cubic spline approximation to the heat conduction equation is shown to correspond to a special case of a finite-difference scheme considered by Saul'yev. The spline approximation produces at each time level a spline function which may be used to obtain the solution at any point in the range of the space variable.Keywords
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