A new local energy-preserving algorithm for the BBM equation

Yanhong Yang, Yushun Wang and Yongzhong Song

Applied Mathematics and Computation, 2018, vol. 324, issue C, 119-130

Abstract: In this paper, a new local energy-preserving algorithm is proposed based on the temporal and spatial discretizations where the Average Vector Field (AVF) method and the implicit midpoint method are used for the temporal discretization and spatial discretization, respectively. In any local time-space region, the local mass and local energy are conserved by the algorithm. With periodic boundary conditions, it is worth noting that the global mass and global energy conservation law are also admitted. Numerical experiments are performed to support our theoretical analysis and show the conservation properties of the algorithm intuitively.

Keywords: BBM equation; Local energy-preserving algorithm; Average vector field (AVF) method; Global energy conservation law (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:324:y:2018:i:c:p:119-130

DOI: 10.1016/j.amc.2017.12.013

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