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Rothe time-discretization method for a nonlocal problem arising in thermoelasticity

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  • Nabil Merazga
  • Abdelfatah Bouziani

Abstract

We investigate a model parabolic mixed problem with purely boundary integral conditions arising in the context of thermoelasticity. Using the Rothe method which is based on a semidiscretization of the given problem with respect to the time variable, the questions of existence, uniqueness, and continuous dependence upon data of a weak solution are proved. Moreover, we establish convergence and derive an error estimate for a semidiscrete approximation.

Suggested Citation

  • Nabil Merazga & Abdelfatah Bouziani, 2005. "Rothe time-discretization method for a nonlocal problem arising in thermoelasticity," International Journal of Stochastic Analysis, Hindawi, vol. 2005, pages 1-16, January.
    • Handle: RePEc:hin:jnijsa:814938
    DOI: 10.1155/JAMSA.2005.13
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    Cited by:

    1. Gupta, Nishi & Maqbul, Md., 2019. "Solutions to Rayleigh–Love equation with constant coefficients and delay forcing term," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 123-134.

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