Name
Title | ||
|---|---|---|
Pseudospectral methods for computing the multiple solutions of the Lane-Emden equation. |
Abstract | ||
|---|---|---|
Based on the Liapunov-Schmidt reduction and symmetry-breaking bifurcation theory, we compute and visualize multiple solutions of the Lane-Emden equation on a square and a disc, using Legendre and Fourier-Legendre pseudospectral methods. Starting from the nontrivial solution branches of the corresponding nonlinear bifurcation problem, we obtain multiple solutions of Lane-Emden equation with various symmetries numerically. Numerical results demonstrate the effectiveness of these approaches. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.jcp.2013.08.029 | J. Comput. Physics |
Keywords | Field | DocType |
liapunov-schmidt reduction,lane-emden equation,corresponding nonlinear bifurcation problem,fourier-legendre pseudospectral method,numerical result,multiple solution,various symmetry,nontrivial solution branch,bifurcation theory,pseudospectral method | Chebyshev pseudospectral method,Mathematical optimization,Lane–Emden equation,Mathematical analysis,Legendre polynomials,Bifurcation theory,Gauss pseudospectral method,Pseudospectral optimal control,Mathematics,Pseudo-spectral method,Bifurcation | Journal |
Volume | Issue | ISSN |
255 | C | 0021-9991 |
Citations | PageRank | References |
2 | 0.38 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhaoxiang Li | 1 | 7 | 3.38 |
| Zhong-qing Wang | 2 | 140 | 20.28 |