Error bound analysis and singularly perturbed Abel-Volterra equations
Asymptotic solutions of nonlinear singularly perturbed Volterra integral equations with kernels possessing integrable singularity are investigated using singular perturbation methods and the Mellin transform technique. In particular, it is demonstrated that the formal approximation is asymptotically...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2004-01-01
|
Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/S1110757X04305024 |
Summary: | Asymptotic solutions of nonlinear singularly
perturbed Volterra integral equations with kernels
possessing integrable singularity are investigated
using singular perturbation methods and the
Mellin transform technique. In particular, it is
demonstrated that the formal approximation is
asymptotically valid. |
---|---|
ISSN: | 1110-757X 1687-0042 |