Rothe time‐discretization method for a nonlocal problem arising in thermoelasticity | Zendy

Nabil Merazga | Zendy; Abdelfatah Bouziani | Zendy

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

Author(s) -

Nabil Merazga,

Abdelfatah Bouziani

Publication year - 2005

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/jamsa.2005.13

Subject(s) - mathematics , uniqueness , discretization , convergence (economics) , mathematical analysis , context (archaeology) , boundary (topology) , variable (mathematics) , boundary value problem , paleontology , economics , biology , economic growth

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

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