@Article{JCM-42-2,
author = {Yanping, Chen and Zhenrong, Chen and Yunqing, Huang},
title = {Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels},
journal = {Journal of Computational Mathematics},
year = {2024},
volume = {42},
number = {2},
pages = {355--371},
abstract = {<p style="text-align: justify;">For fractional Volterra integro-differential equations (FVIDEs) with weakly singular
kernels, this paper proposes a generalized Jacobi spectral Galerkin method. The basis
functions for the provided method are selected generalized Jacobi functions (GJFs), which
can be utilized as natural basis functions of spectral methods for weakly singular FVIDEs
when appropriately constructed. The developed method’s spectral rate of convergence is
determined using the $L^∞$-norm and the weighted $L^2$-norm. Numerical results indicate the
usefulness of the proposed method.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2209-m2022-0129},
url = {https://global-sci.com/article/84091/generalized-jacobi-spectral-galerkin-method-for-fractional-order-volterra-integro-differential-equations-with-weakly-singular-kernels}
}