Name
Title | ||
|---|---|---|
Spectral methods using generalized Laguerre functions for second and fourth order problems. |
Abstract | ||
|---|---|---|
Spectral methods using generalized Laguerre functions are proposed for second-order equations under polar (resp. spherical) coordinates in ź2 (resp. ź3) and fourth-order equations on the half line. Some Fourier-like Sobolev orthogonal basis functions are constructed for our Laguerre spectral methods for elliptic problems. Optimal error estimates of the Laguerre spectral methods are obtained for both second-order and fourth-order elliptic equations. Numerical experiments demonstrate the effectiveness and the spectral accuracy. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s11075-016-0228-2 | Numerical Algorithms |
Keywords | Field | DocType |
Spectral method,Sobolev orthogonal Laguerre functions,Elliptic problems,Error estimates,76M22,33C45,35J15,35J30,65L70 | Mathematical optimization,Laguerre's method,Laguerre polynomials,Fourth order,Mathematical analysis,Sobolev space,Orthogonal basis,Particle in a spherically symmetric potential,Spectral method,Polar,Mathematics | Journal |
Volume | Issue | ISSN |
75 | 4 | 1017-1398 |
Citations | PageRank | References |
1 | 0.37 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fu-jun Liu | 1 | 1 | 0.37 |
| Hui-yuan Li | 2 | 5 | 1.14 |
| Zhong-qing Wang | 3 | 140 | 20.28 |