@Article{JCM-29-6,
author = {},
title = {Supergeometric Convergence of Spectral Collocation Methods for Weakly Singular Volterra and Fredholm Integral Equations with Smooth Solutions},
journal = {Journal of Computational Mathematics},
year = {2011},
volume = {29},
number = {6},
pages = {698--719},
abstract = {<p style="text-align: justify;">A spectral collocation method is proposed to solve Volterra or Fredholm integral equations with weakly singular kernels and corresponding integro-differential equations by virtue of some identities. For a class of functions that satisfy certain regularity conditions on a bounded domain, we obtain geometric or supergeometric convergence rate for both types of equations. Numerical results confirm our theoretical analysis.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1110-m11si06},
url = {https://global-sci.com/article/84791/supergeometric-convergence-of-spectral-collocation-methods-for-weakly-singular-volterra-and-fredholm-integral-equations-with-smooth-solutions}
}