Author(s)

Wenxia Chen^*, Qianqian Zhu, Ping Yang

Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, China.

In this paper, we investigate a numerical method for the generalized Novikov equation. We propose a conservative finite difference scheme and use Brouwer fixed point theorem to obtain the existence of the solution of the corresponding difference equation. We also prove the convergence and stability of the solution by using the discrete energy method. Moreover, we obtain the truncation error of the difference scheme which is .

Generalized Novikov Equation, Finite Difference Scheme, Conservation Law, Stability, Convergence

Chen, W. , Zhu, Q. and Yang, P. (2017) On the Conservative Finite Difference Scheme for the Generalized Novikov Equation. Journal of Applied Mathematics and Physics, 5, 1776-1790. doi: 10.4236/jamp.2017.59150.