Mixed Galerkin finite element methods for modified regularized long wave equation

In this paper, mixed Galerkin finite methods for modified regularized long wave (MRLW) equation are studied. We discrete in space by finite elements and for the time discretization by extrapolated Crank–Nicolson scheme and explicit linear multistep scheme. Linear stability analysis based on Von Neumann theory are performed. Numerical experiments verify the efficiency and accuracy of the proposed numerical schemes.