| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1703428 | Applied Mathematical Modelling | 2015 | 11 Pages |
Abstract
The Jacobi spectral Galerkin method for Volterra integral equations of the second kind with a weakly singular kernel is proposed in this paper. We provide a rigorous error analysis for the proposed method, which indicates that the numerical errors (in the Lωα,β2-norm and the L∞L∞-norm) will decay exponentially provided that the source function is sufficiently smooth. Numerical examples are given to illustrate theoretical results.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Zhang Xiao-yong,