Open AccessA decoupled high accuracy linear difference scheme for symmetric regularized long wave equation with damping term
Author(s) -
Fu Zhang,
Guo Zhang,
Jinsong Hu,
Zhiyuan Zhang
Publication year - 2022
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci2202061f
Subject(s) - dissipative system , boundary value problem , mathematics , stability (learning theory) , term (time) , norm (philosophy) , convergence (economics) , scheme (mathematics) , mathematical analysis , wave equation , physics , computer science , law , quantum mechanics , machine learning , political science , economics , economic growth
In this paper, the initial boundary value problem of the dissipative symmetric regularized long wave equation with a damping term is studied numerically, and a decoupled linearized difference scheme with a theoretical accuracy of O(?2+h4)is proposed. Because the scheme removes the coupling between the variables in the original equation, the linearized difference scheme and the ex-plicit difference scheme can be used to solve the two variables in parallel, which greatly improves the efficiency of numerical solutions. To obtain the maximum norm estimation of numerical solutions, the mathematical induction and the discrete functional analysis methods are introduced directly to prove the convergence and the stability of the scheme. Numerical experiments have also verified the reliability of the proposed scheme.