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On numerical simulations of the 1d wave equation with a distributional coefficient and source term

Arshyn Altybay, M. Ruzhansky and N. Tokmagambetov
(2017) INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS. 8(2). p.28-32
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Abstract
In this note, we illustrate numerical experiments for the one-dimensional wave equation with -like terms. Our research is connecting the theory with the numerical realisations. By using results on very weak solutions introduced by Ruzhansky with his co-authors, we investigate a corresponding regularized problem. In contrast to our expectations, the experiments show that the solution of the regularized problem has a “good” behaviour.
Keywords
wave equation, numerical experiment, simulation, numerical method, weak solutions

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MLA
Altybay, Arshyn, et al. “On Numerical Simulations of the 1d Wave Equation with a Distributional Coefficient and Source Term.” INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS, vol. 8, no. 2, Al-Farabi Kazakh National university, 2017, pp. 28–32.
APA
Altybay, A., Ruzhansky, M., & Tokmagambetov, N. (2017). On numerical simulations of the 1d wave equation with a distributional coefficient and source term. INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS, 8(2), 28–32.
Chicago author-date
Altybay, Arshyn, M. Ruzhansky, and N. Tokmagambetov. 2017. “On Numerical Simulations of the 1d Wave Equation with a Distributional Coefficient and Source Term.” INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS 8 (2): 28–32.
Chicago author-date (all authors)
Altybay, Arshyn, M. Ruzhansky, and N. Tokmagambetov. 2017. “On Numerical Simulations of the 1d Wave Equation with a Distributional Coefficient and Source Term.” INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS 8 (2): 28–32.
Vancouver
1.
Altybay A, Ruzhansky M, Tokmagambetov N. On numerical simulations of the 1d wave equation with a distributional coefficient and source term. INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS. 2017;8(2):28–32.
IEEE
[1]
A. Altybay, M. Ruzhansky, and N. Tokmagambetov, “On numerical simulations of the 1d wave equation with a distributional coefficient and source term,” INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS, vol. 8, no. 2, pp. 28–32, 2017.
@article{8667807,
  abstract     = {{In this note, we illustrate numerical experiments for the one-dimensional wave
equation with -like terms. Our research is connecting the theory with the numerical realisations. By
using results on very weak solutions introduced by Ruzhansky with his co-authors, we investigate a
corresponding regularized problem. In contrast to our expectations, the experiments show that the
solution of the regularized problem has a “good” behaviour.}},
  author       = {{Altybay, Arshyn and Ruzhansky, M. and Tokmagambetov, N.}},
  issn         = {{2218-7987}},
  journal      = {{INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS}},
  keywords     = {{wave equation,numerical experiment,simulation,numerical method,weak solutions}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{28--32}},
  publisher    = {{Al-Farabi Kazakh National university}},
  title        = {{On numerical simulations of the 1d wave equation with a distributional coefficient and source term}},
  volume       = {{8}},
  year         = {{2017}},
}