Name
Title | ||
|---|---|---|
On the rational second kind Chebyshev pseudospectral method for the solution of the Thomas-Fermi equation over an infinite interval |
Abstract | ||
|---|---|---|
In this paper, we propose a pseudospectral method for solving the Thomas-Fermi equation which is a nonlinear singular ordinary differential equation on a semi-infinite interval. This approach is based on the rational second kind Chebyshev pseudospectral method that is indeed a combination of tau and collocation methods. This method reduces the solution of this problem to the solution of a system of algebraic equations. The slope at origin is provided with high accuracy. Comparison with some numerical solutions shows that the present solution is effective and highly accurate. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cam.2013.07.050 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
thomas-fermi equation,pseudospectral method,collocation method,algebraic equation,nonlinear singular ordinary differential,present solution,semi-infinite interval,kind chebyshev pseudospectral method,numerical solution,high accuracy | Chebyshev nodes,Chebyshev pseudospectral method,Mathematical optimization,Mathematical analysis,Singular solution,Chebyshev equation,Pseudospectral optimal control,Gauss pseudospectral method,Legendre pseudospectral method,Mathematics,Chebyshev iteration | Journal |
Volume | ISSN | Citations |
257, | 0377-0427 | 4 |
PageRank | References | Authors |
0.42 | 15 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Kılıçman | 1 | 52 | 9.65 |
| Ishak Hashim | 2 | 75 | 16.70 |
| M. Tavassoli Kajani | 3 | 168 | 21.98 |
| Mohammad Maleki | 4 | 17 | 3.53 |