Numerical solutions for the damped generalized regularized long-wave equation with a variable coefficient by Adomian decomposition method

DOI10.1016/j.cnsns.2008.07.011zbMath1221.65270OpenAlexW2037651512MaRDI QIDQ716727

Khaled Omrani, Talha Achouri

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.07.011

zbMATH Keywords

error analysisAdomian decomposition methodmodified decomposition methodnumerical solutionDGRLW equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (14)

A second-order Fourier pseudospectral method for the generalized regularized long wave equation ⋮ Analysis of fractional-order regularized long-wave models via a novel transform ⋮ An efficient wavelet‐based approximation method for solving nonlinear fractional‐time long wave equations: An operational matrix approach ⋮ Optimal homotopy asymptotic method to nonlinear damped generalized regularized long-wave equation ⋮ Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method ⋮ Application of the homotopy perturbation method to the modified regularized long-wave equation ⋮ Piecewise finite series solutions of seasonal diseases models using multistage Adomian method ⋮ Comparison between variational iteration method and homotopy perturbation method for linear and nonlinear partial differential equations with the nonhomogeneous initial conditions ⋮ Lie symmetry analysis and explicit solutions for the time-fractional regularized long-wave equation ⋮ Numerical simulation of the modified regularized long wave equation by He's variational iteration method ⋮ Exact solutions for some systems of PDEs by He's homotopy perturbation method ⋮ Homotopy analysis method for solving a couple of evolution equations and comparison with Adomian's decomposition method ⋮ Analysis of new conservative difference scheme for two-dimensional Rosenau-RLW equation ⋮ Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel

Cites Work

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• An application of the decomposition method for the generalized KdV and RLW equations
• A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation.
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• Numerical behaviour of stable and unstable solitary waves
• Error estimates for a Galerkin method for a class of model equations for long waves
• Application of modified decomposition method for the analytical solution of space fractional diffusion equation
• The use of Adomian decomposition method for solving the regularized long-wave equation
• Methods for the numerical solution of the Benjamin-Bona-Mahony-Burgers equation
• A fully Galerkin method for the damped generalized regularized long‐wave (DGRLW) equation
• Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
• Large-time behavior of solution for generalized Benjamin–Bona–Mahony–Burgers equations
• Finite difference discretization of the Benjamin‐Bona‐Mahony‐Burgers equation
• Model equations for long waves in nonlinear dispersive systems

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