Name
Title | ||
|---|---|---|
A spectral collocation method for a weakly singular Volterra integral equation of the second kind. |
Abstract | ||
|---|---|---|
The solution y of a weakly singular Volterra equation of the second kind posed on the interval ź1 ≤ t ≤ 1 has in general a certain singular behaviour near t = ź1: typically, |yź(t)|~(1+t)źμ$|y^{\\prime }(t)| \\sim (1+t)^{-\\mu }$ for a parameter μ ź (0, 1). Various methods have been proposed for the numerical solution of these problems, but up to now there has been no analysis that takes into account this singularity when a spectral collocation method is applied directly to the problem. This gap in the literature is filled by the present paper. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s10444-016-9451-6 | Adv. Comput. Math. |
Keywords | Field | DocType |
Weakly singular,Volterra equation of the second kind,Spectral collocation method,65R20 | Prime (order theory),Mathematical optimization,Mathematical analysis,Singular solution,Singularity,Volterra equations,Spectral collocation,Mathematics,Volterra integral equation | Journal |
Volume | Issue | ISSN |
42 | 5 | 1019-7168 |
Citations | PageRank | References |
5 | 0.47 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Can Huang | 1 | 14 | 2.42 |
| Martin Stynes | 2 | 273 | 57.87 |