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UBC Theses and Dissertations

Numerical solution of linear second order parabolic partial differential equations by the methods of collacation with cubic splines Doedel, Eusebius Jacobus

Abstract

Collocation with cubic splines is used as a method for solving Linear second order parabolic partial differential equations. The collocation method is shown to be equivalent to a finite difference method that is consistent with the differential equation and stable in the sense of Von Neumann. Results of numerical computations are given, as well as an application of the method to a moving boundary problem for the heat equation.

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