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


Kanca F., Baglan I.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.72, ss.232-245, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 72 Konu: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s11253-020-01778-x
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.232-245

Özet

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.