Name
Abstract | ||
|---|---|---|
In this paper, we propose a Laguerre spectral method for solving Neumann boundary value problems. This approach differs from the classical spectral method in that the homogeneous boundary condition is satisfied exactly. Moreover, a tridiagonal matrix is employed, instead of the full stiffness matrix encountered in the classical variational formulation of such problems. For analyzing the numerical errors, some basic results on Laguerre approximations are established. The convergence is proved. The numerical results demonstrate the efficiency of this approach. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cam.2011.01.009 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
tridiagonal matrix,laguerre spectral method,classical variational formulation,homogeneous boundary condition,classical spectral method,numerical result,numerical error,neumann boundary value problem,basic result,laguerre approximation,boundary condition,boundary value problem,elliptic equation,neumann boundary condition,satisfiability,spectral method | Tridiagonal matrix,Boundary value problem,Laguerre's method,Laguerre polynomials,Mathematical analysis,Spectral method,Stiffness matrix,Neumann boundary condition,Numerical analysis,Mathematics | Journal |
Volume | Issue | ISSN |
235 | 10 | 0377-0427 |
Citations | PageRank | References |
1 | 0.37 | 8 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhong-qing Wang | 1 | 140 | 20.28 |