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


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.


Integral Equation Approximate Solution Computational Mathematic Quadrature Formula 
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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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