Name
Title | ||
|---|---|---|
Hermite-Sobolev Orthogonal Functions And Spectral Methods For Second- And Fourth-Order Problems On Unbounded Domains |
Abstract | ||
|---|---|---|
Hermite spectral methods using Sobolev orthogonal/biorthogonal basis functions for solving second and fourth-order differential equations on unbounded domains are proposed. Some Hermite-Sobolev orthogonal/biorthogonal basis functions are constructed which lead to the diagonalization of discrete systems. Accordingly, both the exact solutions and the approximate solutions can be represented as infinite and truncated Fourier series. The convergence is analyzed and some numerical results are presented to illustrate the effectiveness and the spectral accuracy of this approach. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1080/00207160.2018.1474208 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Keywords | Field | DocType |
Spectral method, Herimite-Sobolev orthogonal functions, elliptic boundary value problems, unbounded domains, numerical results | Differential equation,Orthogonal functions,Mathematical analysis,Sobolev space,Hermite polynomials,Fourier series,Basis function,Spectral method,Biorthogonal system,Mathematics | Journal |
Volume | Issue | ISSN |
96 | 5 | 0020-7160 |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yuan Liu | 1 | 113 | 32.27 |
| Xu-Hong Yu | 2 | 10 | 3.29 |
| Zhong-qing Wang | 3 | 140 | 20.28 |
| Huiyuan Li | 4 | 34 | 6.21 |