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

DOI10.1016/J.AMC.2021.126837OpenAlexW4200529063MaRDI QIDQ2073106

Yanyan Li

Publication date: 27 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126837

zbMATH Keywords

convergencecompact finite difference schemeSRLW equationsingle nonlinear velocity equationthe discrete energy method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Hyperbolic equations and hyperbolic systems (35Lxx)

Related Items (2)

A new linearized fourth-order conservative compact difference scheme for the SRLW equations ⋮ Conservative compact difference scheme for the generalized Korteweg-de Vries equation

Cites Work

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• Numerical implementation for solving the symmetric regularized long wave equation
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• Numerical simulation and convergence analysis of a high-order conservative difference scheme for SRLW equation
• Numerical solution of the regularized long wave equation using nonpolynomial splines
• Conservative schemes for the symmetric regularized long wave equations
• A decoupled and conservative difference scheme with fourth-order accuracy for the symmetric regularized long wave equations
• A one-parameter family of difference schemes for the regularized long-wave equation
• A symmetric regularized-long-wave equation
• New similarity reductions and Painleve analysis for the symmetric regularised long wave and modified Benjamin-Bona-Mahoney equations
• Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation
• Numerical solution of RLW equation using radial basis functions

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