Name
Abstract | ||
|---|---|---|
An adaptive Legendre–Gauss–Radau collocation method is presented for solving time-varying delay systems. By dividing the domain of the problem into a uniform mesh, the delay system is replaced with a sequence of initial value problems. The method developed in this paper adjusts both the mesh spacing and the degree of the polynomial on each mesh interval in order a specified error tolerance is satisfied. We investigate some error estimates on the whole domain of interest. Some numerical examples are given and comparisons with other methods are made to demonstrate the efficiency and accuracy of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.amc.2012.07.047 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Delay system,Legendre–Gauss–Radau collocation method,Adaptive collocation method,Initial value problem,Time-varying | Mathematical optimization,Polynomial,Division (mathematics),Mathematical analysis,Error tolerance,Orthogonal collocation,Initial value problem,Collocation method,Mathematics | Journal |
Volume | Issue | ISSN |
219 | 4 | 0096-3003 |
Citations | PageRank | References |
3 | 0.41 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad Maleki | 1 | 17 | 3.53 |
| Ishak Hashim | 2 | 75 | 16.70 |
| Saeid Abbasbandy | 3 | 180 | 26.64 |