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Two Conservative Difference Schemes for the Generalized Rosenau Equation

Jinsong Hu, Kelong Zheng

Boundary Value Problems · 2010

doi:10.1155/2010/543503 (opens in a new tab)

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Abstract

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.

Abstract licence: CC BY-NC-ND

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