On the Stability of Numerical Methods for Nonlinear Volterra Integral Equations

E. Messina, Y. Muroya, E. Russo and A. Vecchio

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-18

Abstract:

Here we investigate the behavior of the analytical and numerical solution of a nonlinear second kind Volterra integral equation where the linear part of the kernel has a constant sign and we provide conditions for the boundedness or decay of solutions and approximate solutions obtained by Volterra Runge-Kutta and Direct Quadrature methods.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:862538

DOI: 10.1155/2010/862538

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