@Article{AAMM-17-1395,
author = {Zheng , WeishanChen , Yanping and Zhou , Jianwei},
title = {Spectral Scheme for Nonlinear Volterra Integro-Differential Equation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2025},
volume = {17},
number = {5},
pages = {1395--1410},
abstract = {<p style="text-align: justify;">Nonlinear problems widely exist in many aspects of the natural field. The
nonlinear situation makes it difficult for most existing solvers to deal with. Therefore, constructing an efficient and accurate solver is a challenge. In this paper, a Legendre
spectral method is developed for the nonlinear Volterra integro-differential equation.
The error analysis is also provided to justify the spectral rate of convergence for the errors of approximate solution and approximate derivative decay exponentially in both
the $L^2$ norm and the infinity norm. In the end, numerical results are displayed to confirm the effectiveness of the Legendre spectral analysis.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2022-0164},
url = {http://global-sci.org/intro/article_detail/aamm/24285.html}
}