Two Conservative Difference Schemes for the Generalized Rosenau Equation

Boundary value problems

Jinsong Hu¹  Kelong Zheng² 

[1] School of Mathematics and Computer Engineering, Xihua University, Chengdu, China;School of Science, Southwest University of Science and Technology, Mianyang, China

关键词: Difference Scheme;    Fixed Point Theorem;    Finite Difference Scheme;    Finite Difference Method;    Discontinuous Galerkin Method;   

DOI  :  10.1155/2010/543503

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Numerical solutions for generalized Rosenau equation are considered and two energy conservative finite difference schemes are proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and priori error estimate of the scheme are proved using energy method. Numerical results demonstrate that two schemes are efficient and reliable.

【 授权许可】

CC BY