Name
Abstract | ||
|---|---|---|
We study the numerical solutions to semi-infinite-domain two-point boundary value problems and initial value problems. A smooth, strictly monotonic transformation is used to map the semi-infinite domain x is an element of [0, infinity) onto a half-open interval t is an element of [-1, 1). The resulting finite-domain two-point boundary value problem is transcribed to a system of algebraic equations using Chebyshev-Gauss (CG) collocation, while the resulting initial value problem over a finite domain is transcribed to a system of algebraic equations using Chebyshev-Gauss-Radau (CGR) collocation. In numerical experiments, the tuning of the map phi : [-1, +1) -> [0, +infinity) and its effects on the quality of the discrete approximation are analyzed. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1155/2012/696574 | JOURNAL OF APPLIED MATHEMATICS |
Field | DocType | Volume |
Monotonic function,Boundary value problem,Mathematical optimization,Mathematical analysis,Semi-infinite,Orthogonal collocation,Algebraic equation,Initial value problem,Collocation method,Mathematics,Collocation | Journal | 2012 |
ISSN | Citations | PageRank |
1110-757X | 2 | 0.39 |
References | Authors | |
9 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad Maleki | 1 | 17 | 3.53 |
| Ishak Hashim | 2 | 75 | 16.70 |
| Saeid Abbasbandy | 3 | 180 | 26.64 |