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BIT Numerical Mathematics

, Volume 16, Issue 4, pp 416–425 | Cite as

The solution of Volterra integral equations of the first kind using inverted differentiation formulae

  • P. J. Taylor
Article

Abstract

Numerical differentiation formulae are “inverted” to derive quadrature rules which are then applied to integral equations of the first kind. The resulting methods are explicit and correspond to local differentiation formulae. The methods are shown to be convergent provided that a suitable choice of parameters is made.

Keywords

Integral Equation Computational Mathematic Local Differentiation Suitable Choice Quadrature Rule 
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Copyright information

© BIT Foundations 1976

Authors and Affiliations

  • P. J. Taylor
    • 1
  1. 1.Department of Computing ScienceUniversity of StirlingStirlingScotland

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