High-Accuracy Finite-Element Method for the Sturm-Liouville Problem

  • Authors:

  • V. G. Prikazchikov;M. V. Loseva

  • Affiliations:

  • Taras Shevchenko University, Kiev, Ukraine;Taras Shevchenko University, Kiev, Ukraine

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2004

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Abstract

Using a special basic system of finite functions, a scheme of the sixth order of accuracy is constructed for the Sturm-Liouville problem by the finite-element method. Asymptotic formulas are obtained for eigenvalue errors for nonlinear and linearized schemes.