Hermite interpolation visits ordinary two-point boundary value problems

• Autores: R. E. Grundy
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 48, Nº 4, 2007, págs. 533-552
• Idioma: inglés
• DOI: 10.1017/s1446181100003205
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• Resumen

  • 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.