Stability Analysis of One-Leg Methods for Nonlinear Neutral Delay Integrodifferential Equations

الملخص EN

This paper is concerned with the numerical solution of nonlinear neutral delay integrodifferential equations (NDIDEs).

The adaptation of one-leg methods is considered.

It is proved that an A-stable one-leg method can preserve the global stability and a strongly A-stable one-leg method can preserve the asymptotic stability of the analytical solution of nonlinear NDIDEs.

Numerical tests are given to confirm the theoretical results.