@Article{AAMM-11-2,
author = {Zheng, Weishan and Yanping, Chen and Yunqing, Huang},
title = {Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2019},
volume = {11},
number = {2},
pages = {486--500},
abstract = {<p style="text-align: justify;">In this paper, a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with 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 $L^{\infty}$-norm. In the end, the numerical experiment is illustrated to confirm the theoretical analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2018-0121},
url = {https://global-sci.com/article/73097/convergence-analysis-of-legendre-collocation-spectral-methods-for-second-order-volterra-integro-differential-equation-with-delay}
}