A new conservative finite difference scheme for Boussinesq paradigm equation

DOI10.2478/s11533-012-0011-0zbMath1262.65103OpenAlexW2033499982MaRDI QIDQ424118

Milena Dimova, Natalia T. Kolkovska

Publication date: 31 May 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0011-0

zbMATH Keywords

convergencesolitary wavesnumerical experimentssolitonmultidimensional Boussinesq paradigm equationnonlinear conservative finite difference schemes

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) 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) Soliton equations (35Q51) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Error Estimates of Four Level Conservative Finite Difference Schemes for Multidimensional Boussinesq Equation ⋮ Invariant preserving schemes for double dispersion equations ⋮ Conservative finite difference methods for the Boussinesq paradigm equation ⋮ Numerical solutions of the Boussinesq equation with nonlinear restoring force ⋮ A new conservative finite difference scheme for Boussinesq paradigm equation ⋮ Global existence to generalized Boussinesq equation with combined power-type nonlinearities ⋮ Efficient algorithm and convergence analysis of conservative SAV compact difference scheme for Boussinesq paradigm equation

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