Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641058 | Journal of Computational and Applied Mathematics | 2009 | 13 Pages |
Abstract
We propose and analyze a spectral Jacobi-collocation approximation for the linear Volterra integral equations (VIEs) of the second kind with weakly singular kernels. In this work, we consider the case when the underlying solutions of the VIEs are sufficiently smooth. In this case, we provide a rigorous error analysis for the proposed method, which shows that the numerical errors decay exponentially in the infinity norm and weighted Sobolev space norms. Numerical results are presented to confirm the theoretical prediction of the exponential rate of convergence.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yanping Chen, Tao Tang,