[HTML][HTML] The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin–Bona–Mahony–Burgers and regularized long-wave equations …

M Dehghan, M Abbaszadeh, A Mohebbi - Journal of Computational and …, 2015 - Elsevier
In this paper a numerical technique is proposed for solving the nonlinear generalized
Benjamin–Bona–Mahony–Burgers and regularized long-wave equations. Firstly, we obtain …

A new conservative finite difference scheme for the Rosenau equation

K Omrani, F Abidi, T Achouri, N Khiari - Applied Mathematics and …, 2008 - Elsevier
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Conservative linear difference scheme for Rosenau‐KdV equation

J Hu, Y Xu, B Hu - Advances in Mathematical Physics, 2013 - Wiley Online Library
A conservative three‐level linear finite difference scheme for the numerical solution of the
initial‐boundary value problem of Rosenau‐KdV equation is proposed. The difference …

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

N Atouani, K Omrani - Applicable analysis, 2015 - Taylor & Francis
This article is devoted to the study of high-order conservative difference scheme for the
Rosenau equation. The difference scheme is two-layered and a seven-point stencil is used …

A new high-order compact and conservative numerical scheme for the generalized symmetric regularized long wave equations

S Li, H Fu - International Journal of Computer Mathematics, 2023 - Taylor & Francis
In this paper, a new three-level implicit and fourth-order compact conservative difference
scheme is developed for the generalized symmetric regularized long wave equations. The …

Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations

S Li - Numerical Methods for Partial Differential Equations, 2019 - Wiley Online Library
In this article, a new weighted and compact conservative difference scheme for the
symmetric regularized long wave (SRLW) equations is considered. The new scheme is …

[HTML][HTML] A conservative fourth-order stable finite difference scheme for the generalized Rosenau–KdV equation in both 1D and 2D

X Wang, W Dai - Journal of Computational and Applied Mathematics, 2019 - Elsevier
In the present work, a conservative fourth-order stable finite difference scheme is proposed
to solve the generalized Rosenau–KdV equation in both 1D and 2D. The existence …

Numerical analysis of a high-order accurate compact finite difference scheme for the SRLW equation

Y He, X Wang, H Cheng, Y Deng - Applied Mathematics and Computation, 2022 - Elsevier
In this paper, we develop a fourth-order accurate compact difference scheme for the
symmetric regularized long wave (SRLW) equation for a single nonlinear velocity form. The …

Jacobi elliptic function solutions of space-time fractional symmetric regularized long wave equation

SÇ Ünal, A Daşcıoğlu, DV Bayram - Mathematical Sciences and …, 2021 - dergipark.org.tr
In this paper, by using a direct method based on the Jacobi elliptic functions, the exact
solutions of the space-time fractional symmetric regularized long wave (SRLW) equation …

Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation

J Kerdboon, S Yimnet, B Wongsaijai… - … Journal of Computer …, 2021 - Taylor & Francis
A higher-order uncoupled finite difference scheme is proposed and analysed to approximate
the solutions of the symmetric regularized long-wave equation. The finite difference …