Determination of an Unknown Heat Source from Integral Overdetermination Condition

BAĞLAN İ., Kanca F., MİSHRA V. N.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, cilt.42, ss.1373-1382, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s40995-017-0454-z
  • Dergi Adı: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1373-1382
  • Anahtar Kelimeler: Quasilinear parabolic equation, Inverse problem, Periodic boundary condition, Finite difference method, Integral overdetermination condition, NONLOCAL BOUNDARY-CONDITIONS, NANOFLUID FLOW, PARABOLIC EQUATIONS, MODEL
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this research, we consider a coefficient problem of an inverse problem of a quasilinear parabolic equation 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 using linearization and finite difference method is proved.