A High-Accuracy Linear Conservative Difference Scheme for Rosenau-RLW Equation

Jinsong Hu and Yulan Wang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-8

Abstract:

We study the initial-boundary value problem for Rosenau-RLW equation. We propose a three-level linear finite difference scheme, which has the theoretical accuracy of . The scheme simulates two conservative properties of original problem well. The existence, uniqueness of difference solution, and a priori estimates in infinite norm are obtained. Furthermore, we analyze the convergence and stability of the scheme by energy method. At last, numerical experiments demonstrate the theoretical results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:870291

DOI: 10.1155/2013/870291

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