Numerical scheme for a model of shallow water waves in \((2 + 1)\)-dimensions
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Publication:1668547
DOI10.1016/j.camwa.2017.06.054zbMath1397.65146OpenAlexW2741508835MaRDI QIDQ1668547
Moeiz Rouis, Khaled Omrani, Asma Rouatbi
Publication date: 29 August 2018
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.06.054
Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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)
Related Items (9)
An efficient tool for solving the Rosenau-Burgers equation in two dimensions ⋮ Dynamical behaviors of the solution to a periodic initial-boundary value problem of the generalized Rosenau-RLW-Burgers equation ⋮ A new algorithm for analysis and simulation of (2+1) Korteweg-de Vries-Rosenau-regularized long-wave model ⋮ Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations ⋮ Analysis and simulation of Korteweg-de Vries-Rosenau-regularised long-wave model via Galerkin finite element method ⋮ Optimal decay rates of the dissipative shallow water waves modeled by coupling the rosenau-RLW equation and the rosenau-Burgers equation with power of nonlinearity ⋮ Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2 + 1)-dimensions ⋮ Discontinuous Galerkin finite element methods for one-dimensional Rosenau equation ⋮ A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method
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