On the Stability of Numerical Methods for Nonlinear Volterra Integral Equations
E. Messina, Y. Muroya, E. Russo and 1 more
Discrete Dynamics in Nature and Society · 2010
doi:10.1155/2010/862538 (opens in a new tab)
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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.
Abstract licence: CC BY
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