Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. (English) Zbl 0969.65094

Guo, Ben-Yu; Shen, Jie

Numer. Math. 86, No. 4, 635-654 (2000).

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.

Reviewer: J.D.P.Donnelly (Oxford)

MSC:

65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M70	Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q53	KdV equations (Korteweg-de Vries equations)
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Keywords:

convergence; Laguerre-Galerkin method; spectral method; Burgers’ equation; BBM equation; numerical examples