Premium
Numerical study using explicit multistep G alerkin finite element method for the MRLW equation
Author(s) -
Mei Liquan,
Gao Yali,
Chen Zhangxin
Publication year - 2015
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.21971
Subject(s) - mathematics , discretization , finite element method , linear multistep method , partial differential equation , galerkin method , discontinuous galerkin method , stability (learning theory) , mathematical analysis , space (punctuation) , scheme (mathematics) , mixed finite element method , numerical stability , numerical analysis , differential equation , ordinary differential equation , computer science , physics , differential algebraic equation , operating system , machine learning , thermodynamics
In this article, an explicit multistep Galerkin finite element method for the modified regularized long wave equation is studied. The discretization of this equation in space is by linear finite elements, and the time discretization is based on explicit multistep schemes. Stability analysis and error estimates of our numerical scheme are derived. Numerical experiments indicate the validation of the scheme by L 2 – and L ∞ – error norms and three invariants of motion.4 © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 1875–1889, 2015