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Numerical Simulation for General Rosenau-RLW Equation: An Average Linearized Conservative Scheme

Xintian Pan and Luming Zhang

Mathematical Problems in Engineering, 2012, vol. 2012, 1-15

Abstract:

Numerical solutions for the general Rosenau-RLW equation are considered and an energy conservative linearized finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and a priori error estimate of the scheme are proved using energy method. Numerical results demonstrate that the scheme is efficient and reliable.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:517818

DOI: 10.1155/2012/517818

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