Nonlinear and linear conservative finite difference schemes for regularized long wave equation

DOI10.1007/BF03167544zbMath1177.65124MaRDI QIDQ2270596

Satoshi Koide, Daisuke Furihata

Publication date: 28 July 2009

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jjiam/1244209204

zbMATH Keywords

stabilityfinite difference methoderror boundsregularized long wave equationBenjamin-Bona-Mahony equationdiscrete conservation lawsnonlinear and linear schemes

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (10)

Energy-preserving finite volume element method for the improved Boussinesq equation ⋮ Conservative finite volume element schemes for the complex modified Korteweg-de Vries equation ⋮ Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation ⋮ Second order monotone difference schemes with approximation on non-uniform grids for two-dimensional quasilinear parabolic convection-diffusion equations ⋮ Energy conservation issues in the numerical solution of the semilinear wave equation ⋮ New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation ⋮ Numerical preservation of multiple local conservation laws ⋮ A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations ⋮ New conservative finite volume element schemes for the modified Korteweg–de Vries equation ⋮ Bespoke finite difference schemes that preserve multiple conservation laws

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