A New Finite Difference Method for Rosenau-Burgers Equation

Abstract

Abstract: From the study of the dynamic systems, this paper discussed the numerical method of the initial-boundary value problem of Rosenau-Burgers equation. It reveals the dissipation problems of nonlinear wave. By using the mesh method in time and space domain of the equation, a new implicit finite difference scheme of three levels was proposed. And the prior estimate of the solutions was obtained. It was proved that the finite difference scheme is convergent and stable. The numerical experiment indicates that the scheme is available and it is easy to implement, and computational time can be economized. The weighted difference scheme has universal significance and it is worth popularizing.

Key words: convergence, Rosenau-Burgers equation, finite difference scheme, stability

CLC Number:

O 241.82

SHAO Xin-Hui, XUE Guan-Yu, SHEN Hai-Long. A New Finite Difference Method for Rosenau-Burgers Equation[J]. Journal of Shanghai Jiaotong University, 2012, 46(10): 1693-1696.

References

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