Year: 2013
Author: Weishan Zheng, Yanping Chen
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 131–145
Abstract
In this paper, a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with pantograph delay. We provide a rigorous error analysis for the proposed method. The spectral rate of convergence for the proposed method is established in both $L^2$-norm and $L^∞$-norm.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-m1209
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 2 : pp. 131–145
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Legendre-spectral method second order Volterra integro-differential equation pantograph delay error analysis.
Author Details
-
Long time behavior of higher-order delay differential equation with vanishing proportional delay and its convergence analysis using spectral method
Ali, Ishtiaq
AIMS Mathematics, Vol. 7 (2022), Iss. 4 P.4946
https://doi.org/10.3934/math.2022275 [Citations: 1] -
An hp -spectral collocation method for nonlinear Volterra functional integro-differential equations with delays
Sheng, Chang-tao | Wang, Zhong-qing | Guo, Ben-yuApplied Numerical Mathematics, Vol. 105 (2016), Iss. P.1
https://doi.org/10.1016/j.apnum.2015.12.005 [Citations: 17] -
A Legendre spectral method for multidimensional partial Volterra integro-differential equations
Zheng, Weishan | Chen, Yanping | Zhou, JianweiJournal of Computational and Applied Mathematics, Vol. 436 (2024), Iss. P.115302
https://doi.org/10.1016/j.cam.2023.115302 [Citations: 4]