On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system

@article{MacasDaz2010OnTS,
  title={On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system},
  author={J. E. Mac{\'i}as-D{\'i}az},
  journal={Comput. Phys. Commun.},
  year={2010},
  volume={181},
  pages={1842-1849}
}
Abstract In this work, we present a numerical method to consistently approximate solutions of a spatially discrete, double sine-Gordon chain which considers the presence of external damping. In addition to the finite-difference scheme employed to approximate the solution of the difference-differential equations of the model under investigation, our method provides positivity-preserving schemes to approximate the local and the total energy of the system, in such a way that the discrete rate of… Expand
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