TY - JOUR T1 - Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays AU - Ishtiaq Ali JO - Journal of Computational Mathematics VL - 1 SP - 49 EP - 60 PY - 2011 DA - 2011/02 SN - 29 DO - http://doi.org/10.4208/jcm.1006-m3150 UR - https://global-sci.org/intro/article_detail/jcm/8463.html KW - Delay integro-differential equations, Proportional delays, Spectral methods, Convergence analysis. AB -
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.