TY - JOUR
T1 - Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays
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 - <p style="text-align: justify;">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.</p>