Laguerre and composite Legendre-Laguerre dual-Petrov-Galerkin methods for third-order equations

DOI10.3934/DCDSB.2006.6.1381zbMath1113.65078OpenAlexW2095345398MaRDI QIDQ864075

Jie Shen, Li-Lian Wang

Publication date: 12 February 2007

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2006.6.1381

zbMATH Keywords

stabilityconvergencenumerical examplesdomain decompositionKdV equationLaguerre function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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