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Title: A cubic spline technique for the one dimensional heat conduction equation
Authors: Papamichael, N
Whiteman, J R
Publication Date: 1971
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). December 1971, pp 1-16
Series/Report no.: ;TR/5
Abstract: A new method is developed for the numerical solution of the heat conduction equation in one space dimension by replacing the space derivative with a cubic spline approximation and the time derivative with a finite- difference approximation. The method is equivalent to a new finite-difference scheme and produces at each time level an interpolating spline function.
Appears in Collections:Mathematical Science
Dept of Mathematics Research Papers

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