Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays
DOI:
https://doi.org/10.4208/jcm.1006-m3150Keywords:
Delay integro-differential equations, Proportional delays, Spectral methods, Convergence analysis.Abstract
We describe the application of the spectral method to delay integro-differential equations with proportional delays. It is shown that the resulting numerical solutions exhibit the spectral convergence order. Extensions to equations with more general (nonlinear) vanishing delays are also discussed.