@Article{JMS-48-4,
author = {Shen, Jie and Sheng, Changtao and Zhongqing, Wang},
title = {Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with Weakly Singular Kernels},
journal = {Journal of Mathematical Study},
year = {2015},
volume = {48},
number = {4},
pages = {315--329},
abstract = {<p style="text-align: justify;">We propose a generalized Jacobi spectral-Galerkin method for the nonlinear
Volterra integral equations (VIEs) with weakly singular kernels. We establish the
existence and uniqueness of the numerical solution, and characterize the convergence
of the proposed method under reasonable assumptions on the nonlinearity. We also
present numerical results which are consistent with the theoretical predictions.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v48n4.15.01},
url = {https://global-sci.com/article/87833/generalized-jacobi-spectral-galerkin-method-for-nonlinear-volterra-integral-equations-with-weakly-singular-kernels}
}