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

Li Shuguang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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

Author(s) -

Li Shuguang

Publication year - 2019

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.22285

Subject(s) - mathematics , tridiagonal matrix , convergence (economics) , scheme (mathematics) , norm (philosophy) , algebraic equation , numerical analysis , mathematical analysis , algebraic number , numerical stability , computation , tridiagonal matrix algorithm , stability (learning theory) , algorithm , eigenvalues and eigenvectors , nonlinear system , quantum mechanics , machine learning , physics , political science , computer science , law , economics , economic growth

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 decoupled and linearized in practical computation, that is, at each time step only two tridiagonal systems of linear algebraic equations need to be solved. It is proved by the discrete energy method that the compact scheme is uniquely solvable, the convergence and stability of the difference scheme are obtained, and its numerical convergence order is O ( τ 2 + h 4 ) in theL ∞ ‐norm. Numerical experiment results show that the scheme is efficient and reliable.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research