Name
Title | ||
|---|---|---|
Optimal Error Estimates of the Chebyshev-Legendre Spectral Method for Solving the Generalized Burgers Equation |
Abstract | ||
|---|---|---|
In this paper the Chebyshev-Legendre collocation method is applied to the generalized Burgers equation. Optimal error estimate of the method is proved for the problem with the Dirichlet boundary conditions. Also, a Legendre - Galerkin - Chebyshev collocation method is given for the generalized Burgers equation. The scheme is basically formulated in the Legendre spectral form but with the nonlinear term being treated by the Chebyshev collocation method so that the scheme can be implemented at Chebyshev - Gauss - Lobatto points efficiently. Optimal order convergence is also obtained through coupling estimates in the L-2-norm and the H-1-norm. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1137/S0036142901399781 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
optimal error estimate,Chebyshev-Legendre method,generalized Burgers equation | Mathematical optimization,Dirichlet problem,Orthogonal collocation,Mathematical analysis,Legendre polynomials,Dirichlet boundary condition,Burgers' equation,Spectral method,Partial differential equation,Collocation method,Mathematics | Journal |
Volume | Issue | ISSN |
41 | 2 | 0036-1429 |
Citations | PageRank | References |
15 | 1.02 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hua Wu | 1 | 16 | 4.89 |
| Heping Ma | 2 | 211 | 26.20 |
| Huiyuan Li | 3 | 15 | 1.70 |