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 İndekslerine Giren Dergi) identifier identifier

  • 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
  • Sayfa Sayıları: ss.1373-1382

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.