Numerical Methods for a Shallow Water Rosenau-Burgers Equation

2018 4th International Conference on Environmental Science and Material Application

生态环境科学;材料科学

Jun, Zhang^1

Guizhou University of Finance and Econmics School of Mathematics and Statistical, Guiyang, 550025, China^1

关键词: Numerical solution;    Rosenau-Burgers equation;    Shallow water wave equation;    Shallow waters;    Unconditionally stable;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/252/5/052123/pdf
DOI  :  10.1088/1755-1315/252/5/052123

来源: IOP

【 摘 要 】

We turn to study the numerical solution of a shallow water of Rosenau-Burgers equation. We propose a scheme to numerically solve this equation. A detailed analysis is carried out for the scheme, and analysis shows that the scheme is unconditionally stable; At last, we use the proposed methods to investigate the asymptotical behavior of the solutions to the shallow water wave equation.