A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay
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@Article{AAMM-5-131,
author = {Zheng , Weishan and Chen , Yanping},
title = {A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {2},
pages = {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.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m1209}, url = {http://global-sci.org/intro/article_detail/aamm/61.html} }
TY - JOUR
T1 - A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay
AU - Zheng , Weishan
AU - Chen , Yanping
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 131
EP - 145
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.12-m1209
UR - https://global-sci.org/intro/article_detail/aamm/61.html
KW - Legendre-spectral method, second order Volterra integro-differential equation, pantograph delay, error analysis.
AB -
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.
Zheng , Weishan and Chen , Yanping. (2013). A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay.
Advances in Applied Mathematics and Mechanics. 5 (2).
131-145.
doi:10.4208/aamm.12-m1209
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