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Zbl 0969.65094
Guo, Ben-Yu; Shen, Jie
Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval.
(English)
[J] Numer. Math. 86, No.4, 635-654 (2000). ISSN 0029-599X; ISSN 0945-3245/e

The authors show that a Laguerre-Galerkin method applied to Burgers' and the BBM equations on a semi-infinite interval converges with spectral accuracy. Numerical examples are given.
[J.D.P.Donnelly (Oxford)]
MSC 2000:
*65M60 Finite numerical methods (IVP of PDE)
65M70 Spectral, collocation and related methods (IVP of PDE)
35Q53 KdV-like equations
65M12 Stability and convergence of numerical methods (IVP of PDE)

Keywords: convergence; Laguerre-Galerkin method; spectral method; Burgers' equation; BBM equation; numerical examples

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