Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2 + 1)-dimensions
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Publication:2010261
DOI10.1016/j.apnum.2019.07.021zbMath1427.65263OpenAlexW2967547272MaRDI QIDQ2010261
Publication date: 27 November 2019
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2019.07.021
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (10)
Global exponential stability of both continuous-time and discrete-time switched positive time-varying delay systems with interval uncertainties and all unstable subsystems ⋮ On solitary wave solutions for the Camassa-Holm and the Rosenau-RLW-Kawahara equations with the dual-power law nonlinearities ⋮ Evaluation of shallow water waves modelled by the Rosenau-Kawahara equation using pseudo-compact finite difference approach ⋮ Dynamical behaviors of the solution to a periodic initial-boundary value problem of the generalized Rosenau-RLW-Burgers equation ⋮ Double reduction order method based conservative compact schemes for the Rosenau equation ⋮ Novel advances in high-order numerical algorithm for evaluation of the shallow water wave equations ⋮ Stability analysis of a high-order finite-difference scheme for the Korteweg-de Vries equation with non-homogeneous boundaries ⋮ 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 ⋮ Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme ⋮ Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order rosenau-RLW equation
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