Explicit multistep methods for nonstiff partial differential equations

DOI10.1016/S0168-9274(97)00112-8zbMath0932.65106MaRDI QIDQ1294583

Panagiotis Chatzipantelidis

Publication date: 21 March 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

error estimatesHilbert spaceBoussinesq equationfinite element methodsinitial-boundary value problemsnonlinear operatorSobolev equationtime discretizationpseudoparabolic equationRosenau equationexplicit multistep methodsnonstiff partial differential equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15) Nonlinear evolution equations (47J35)

Related Items

Asymptotic behavior of solutions to the Rosenau-Burgers equation with a periodic initial boundary, Numerical study using explicit multistep <scp>G</scp>alerkin finite element method for the <scp>MRLW</scp> equation, Explicit multistep mixed finite element method for RLW equation, Explicit multistep method for the numerical solution of RLW equation, Numerical solution of Boussinesq systems of the Bona-Smith family, Fully discrete approximation of general nonlinear Sobolev equations

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