Two Conservative Difference Schemes for the Generalized Rosenau Equation

被引：34
|
作者：
Hu, Jinsong [2 ]
Zheng, Kelong [1 ]
机构：
[1] SW Univ Sci & Technol, Sch Sci, Mianyang 621010, Sichuan, Peoples R China
[2] Xihua Univ, Sch Math & Comp Engn, Chengdu 610039, Sichuan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2010年
关键词：
Difference Scheme; Fixed Point Theorem; Finite Difference Scheme; Finite Difference Method; Discontinuous Galerkin Method;
D O I：
10.1155/2010/543503
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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页数：18
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