Name
Title | ||
|---|---|---|
A super-attainable order in collocation methods for differential equations with proportional delay |
Abstract | ||
|---|---|---|
We are concerned with the pantograph differential equation y′(t)=ay(t)+by(qt)+f(t),t>0,y(0)=y0, with proportional delay qt,0<q<1. In the literatures, it is known that if we choose some proper m collocation points for m⩾2, then collocation leads to a superconvergence result of order p∗=2m+1 at the first mesh point t=h. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.amc.2007.08.078 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Delay differential equations,Proportional delay,Collocation methods,Super-attainable order | Differential equation,Mathematical optimization,Pantograph,Mathematical analysis,Superconvergence,Mesh point,Numerical analysis,Delay differential equation,Collocation method,Mathematics,Collocation | Journal |
Volume | Issue | ISSN |
198 | 1 | 0096-3003 |
Citations | PageRank | References |
3 | 0.48 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Emiko Ishiwata | 1 | 34 | 9.71 |
| Yoshiaki Muroya | 2 | 37 | 10.18 |
| Hermann Brunner | 3 | 191 | 33.18 |