Browsing by Author "Gao, Yali"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item Open Access A Galerkin Finite Element Method for Numerical Solutions of the Modified Regularized Long Wave Equation(2014-06-19) Mei, Liquan; Gao, Yali; Chen, ZhangxinA Galerkin method for a modified regularized long wave equation is studied using finite elements in space, the Crank-Nicolson scheme, and the Runge-Kutta scheme in time. In addition, an extrapolation technique is used to transform a nonlinear system into a linear system in order to improve the time accuracy of this method. A Fourier stability analysis for the method is shown to be marginally stable. Three invariants of motion are investigated. Numerical experiments are presented to check the theoretical study of this method.