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Solution of the Boundary-Value Problem of Heat Conduction with Periodic Boundary Conditions

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Ukrainian Mathematical Journal Aims and scope

We investigate the solution of the inverse problem for a linear two-dimensional parabolic equation with periodic boundary and integral overdetermination conditions. Under certain natural regularity and consistency conditions imposed on the input data, we establish the existence, uniqueness of the solution, and its continuous dependence on the data by using the generalized Fourier method. In addition, an iterative algorithm is constructed for the numerical solution of the problem.

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Authors and Affiliations

  1. Department of Computer Engineering, Fenerbahče University, Istanbul, Turkey

    F. Kanca

  2. Kocaeli University, Kocaeli, Turkey

    I. Baglan

Authors
  1. F. Kanca
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  2. I. Baglan
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Correspondence to F. Kanca.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 2, pp. 209–220, February, 2020.

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Kanca, F., Baglan, I. Solution of the Boundary-Value Problem of Heat Conduction with Periodic Boundary Conditions. Ukr Math J 72, 232–245 (2020). https://doi.org/10.1007/s11253-020-01778-x

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  • DOI: https://doi.org/10.1007/s11253-020-01778-x

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