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
✦ LIBER ✦
A generalized Laguerre–Legendre spectral collocation method for solving initial-boundary value problems
✍ Scribed by Tatari, Mehdi; Haghighi, Mahboobeh
- Book ID
- 120835958
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 488 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0307-904X
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In this paper we implement a spectral method for solving initial boundary value problems which is in between the Galerkin and collocation methods. In this method the partial differential equation and initial and boundary conditions are collocated at an overdetermined set of points and the approximat