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Collocation solutions of integro-differential equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 430)

Abstract

Collocation solutions of mth order nonlinear integro-differential equations are discussed. The solutions are piecewise polynomials and are determined by the requirement that they satisfy the given equation at a finite number of points. Approximations to the collocation equations are also discussed.

Keywords

  • Small Neighborhood
  • Compact Operator
  • Collocation Method
  • Collocation Point
  • Piecewise Polynomial

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1974 Springer-Verlag

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Espinosa, R.J. (1974). Collocation solutions of integro-differential equations. In: Colton, D.L., Gilbert, R.P. (eds) Constructive and Computational Methods for Differential and Integral Equations. Lecture Notes in Mathematics, vol 430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066269

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  • DOI: https://doi.org/10.1007/BFb0066269

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07021-4

  • Online ISBN: 978-3-540-37302-5

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