A new conservative high-order accurate difference scheme for the Rosenau equation

DOI10.1080/00036811.2014.987134zbMath1338.65213OpenAlexW2051847605MaRDI QIDQ3452456

Noureddine Atouani, Khaled Omrani

Publication date: 12 November 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.987134

zbMATH Keywords

stabilityconservative difference schemeCrank-Nicolson methodnumerical resulthigh-order convergenceRosenau equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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 (32)

Radial basis function methods for the Rosenau equation and other higher order PDEs ⋮ An efficient tool for solving the Rosenau-Burgers equation in two dimensions ⋮ A spectral method based on Bernstein orthonormal basis functions for solving an inverse Roseneau equation ⋮ Numerical scheme for a model of shallow water waves in \((2 + 1)\)-dimensions ⋮ The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis ⋮ An \(H^1\)-Galerkin mixed finite element method for Rosenau equation ⋮ Global existence, asymptotic behavior, and regularity of solutions for time–space fractional Rosenau equations ⋮ A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation ⋮ Numerical approach of dispersive shallow water waves with Rosenau-KdV-RLW equation in \((2+1)\)-dimensions ⋮ Double reduction order method based conservative compact schemes for the Rosenau equation ⋮ Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations ⋮ A new algorithm for analysis and simulation of (2+1) Korteweg-de Vries-Rosenau-regularized long-wave model ⋮ Numerical solutions of nonhomogeneous Rosenau type equations by quintic B‐spline collocation method ⋮ An efficient numerical simulation of nonlinear‐dispersive model of shallow water wave ⋮ Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations ⋮ Numerical solution by quintic B-spline collocation finite element method of generalized Rosenau-Kawahara equation ⋮ Analysis and simulation of Korteweg-de Vries-Rosenau-regularised long-wave model via Galerkin finite element method ⋮ A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation ⋮ Nonconforming quasi-Wilson finite element approximation for the nonlinear Rosenau equation ⋮ 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 ⋮ On the \(L^\infty\)-norm convergence of a three-level linearly implicit finite difference method for the extended Fisher-Kolmogorov equation in both 1D and 2D ⋮ Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2 + 1)-dimensions ⋮ Mixed finite element methods for the Rosenau equation ⋮ A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation ⋮ Superconvergence analysis of the mixed finite element method for the Rosenau equation ⋮ Convergence analysis of the Galerkin finite element method for the fourth-order Rosenau equation ⋮ The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis ⋮ Discontinuous Galerkin finite element methods for one-dimensional Rosenau equation ⋮ A new approach for numerical solution of Kuramoto-Tsuzuki equation ⋮ On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation ⋮ A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method ⋮ Analysis of new conservative difference scheme for two-dimensional Rosenau-RLW equation

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