Runge-Kutta Theory for Volterra and Abel Integral Equations of the Second Kind

1 July 1983

journal article
Published by JSTOR in Mathematics of Computation

Vol. 41 (163) , 87-102
https://doi.org/10.2307/2007768

Abstract

The present paper develops the local theory of general Runge-Kutta methods for a broad class of weakly singular and regular Volterra integral equations of the second kind. Further, the smoothness properties of the exact solutions of such equations are investigated.

Keywords

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