ANZIAM  J.  48 (2007), 533-552
Hermite interpolation visits ordinary two-point boundary value problems

R. E. Grundy
  School of Mathematics and Statistics
  University of St Andrews
  St Andrews
  United Kingdom

This paper is concerned with constructing polynomial solutions to ordinary boundary value problems. A semi-analytic technique using two-point Hermite interpolation is compared with conventional methods via a series of examples and is shown to be generally superior, particularly for problems involving nonlinear equations and/or boundary conditions.
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