@Article{AAMM-7-1,
author = {Yin, Yang and Yanping, Chen and Yunqing, Huang and Yang, Wei},
title = {Convergence Analysis of Legendre-Collocation Methods for Nonlinear Volterra Type Integro Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2015},
volume = {7},
number = {1},
pages = {74--88},
abstract = {<p style="text-align: justify;">A Legendre-collocation method is proposed to solve the nonlinear
Volterra integral equations of the second kind. We provide a
rigorous error analysis for the proposed method, which indicates that
the numerical errors in $L^2$-norm and &nbsp;$L^\infty$-norm will decay
exponentially provided that the kernel function is sufficiently
smooth. Numerical results are presented, which confirm the
theoretical prediction of the exponential rate of convergence.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2013.m163},
url = {https://global-sci.com/article/73384/convergence-analysis-of-legendre-collocation-methods-for-nonlinear-volterra-type-integro-equations}
}