TY - JOUR
TI - New high-order conservative difference scheme for regularized long wave equation with Richardson extrapolation
AU - Hu Jin-Song
AU - Li Jia-Jia
AU - Wang Xi
JN - Thermal Science
PY - 2019
VL - 23
IS - 13
SP - 737
EP - 745
PT - Article
AB - Numerical solution for the regularized long wave equation is considered by a new three-level conservative implicit finite difference scheme coupled with Richardson extrapolation which has the accuracy of O(τ + h4). The scheme is a linear system of equations solved without iteratio. The conservation properties of the algorithm are verified by computing the discrete mass and discrete energy. Existence and uniqueness of the numerical solution are proved. Convergence and stability of the scheme are also derived using energy method. The results of numerical experiments show that our proposed scheme is efficiency.