Two-dimensional inverse quasilinear parabolic problem with periodic boundary condition

BAĞLAN İ., Kanca F.

APPLICABLE ANALYSIS, cilt.98, sa.8, ss.1549-1565, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 98 Sayı: 8
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/00036811.2018.1434149
  • Dergi Adı: APPLICABLE ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1549-1565
  • Anahtar Kelimeler: Finite-difference method, inverse problem, parabolic equation, periodic boundary conditions, EQUATION SUBJECT
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, we consider a coefficient problem of a quasi-linear two-dimensional parabolic inverse problem with periodic boundary and integral over determination conditions. We prove the existence, uniqueness and continuously dependence upon the data of the solution by iteration method. Also, we consider numerical solution for this inverse problem by using linearization and the implicit finite-difference scheme.