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Spectral method for solving the RLW equation. (English) Zbl 0577.65105

An explicit spectral method for the numerical solution of the regularized long wave equation \((=RLW)\) is proposed. Some linear and nonlinear numerical examples including a comparison with finite difference and finite element schemes are given. A duplicate of this paper is published by the authors in IMA J. Numer. Anal. 5, 307-318 (1985).
Reviewer: S.Filippi

MSC:

65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application

Citations:

Zbl 0577.65106
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