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

Kanca F., Baglan I.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.72, sa.2, ss.232-245, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 72 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s11253-020-01778-x
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.232-245
  • Kocaeli Üniversitesi Adresli: Evet

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.