Abstract
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 L2– and L∞– error norms and three invariants of motion.4
Grantingagency
NSERC
Refereed
Yes
Sponsorship
Industrial consortium in Reservoir Simulation and Modelling; Foundation CMG; Alberta Innovates