Solitary wave solution of nonlinear Benjamin-Bona-Mahony-Burgers equation using a high-order difference scheme

DOI10.1007/s40314-015-0272-xzbMath1406.65062OpenAlexW1791189314MaRDI QIDQ2398137

Zahra Faraz, Akbar Mohebbi

Publication date: 15 August 2017

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-015-0272-x

zbMATH Keywords

convergencesolitary wavesfinite difference schemeunconditional stabilitysolvabilityBenjamin-Bona-Mahony-Burgers equation

Mathematics Subject Classification ID

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 (12)

Numerical solution for Benjamin-Bona-Mahony-Burgers equation with Strang time-splitting technique ⋮ Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers' equation ⋮ Theoretical and computational structures on solitary wave solutions of Benjamin Bona Mahony-Burgers equation ⋮ A new highly accurate numerical scheme for Benjamin-Bona-Mahony-Burgers equation describing small amplitude long wave propagation ⋮ A modified Runge-Kutta scheme for the generalized Benjamin-Bona-Mahony-Burgers equation ⋮ The numerical analysis of two linearized difference schemes for the <scp>Benjamin–Bona–Mahony–Burgers</scp> equation ⋮ High-order compact finite difference schemes for solving the regularized long-wave equation ⋮ Novel advances in high-order numerical algorithm for evaluation of the shallow water wave equations ⋮ Analytical and numerical studies on dynamic of complexiton solution for complex nonlinear dispersive model ⋮ Galerkin finite element solution for Benjamin-Bona-Mahony-Burgers equation with cubic B-splines ⋮ A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation ⋮ An efficient numerical method for solving Benjamin–Bona–Mahony–Burgers equation using difference scheme

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