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BIT Numerical Mathematics

, Volume 8, Issue 1, pp 43–47 | Cite as

A starting method for the numerical solution of Volterra's integral equation of the second kind

  • John C. O'Neill
  • George D. Byrne
Article

Abstract

The acquisition of starting values is one of the chief difficulties encountered in computing a numerical solution of Volterra's integral equation of the second kind by a multi-step method. The object of this note is to present a procedure which is derived from certain quadrature formulas and which provides these starting values, to provide a sufficient condition for the approximate solution to be unique, to bound the approximate solution and the error, and to give a numerical example.

Keywords

Integral Equation Approximate Solution Computational Mathematic Quadrature Formula 
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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References

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    Rosser, J. B.,A Runge-Kutta for All Seasons, SIAM Review, Vol. 9, No. 3, pp. 417–452, (July) 1967.CrossRefGoogle Scholar

Copyright information

© BIT Foundations 1968

Authors and Affiliations

  • John C. O'Neill
    • 1
  • George D. Byrne
    • 1
  1. 1.Department of MathematicsUniversity of PittsburghPittsburghUSA

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