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, vol.42, pp.1373-1382, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42
  • Publication Date: 2018
  • Doi Number: 10.1007/s40995-017-0454-z
  • Journal Name: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1373-1382
  • Keywords: Quasilinear parabolic equation, Inverse problem, Periodic boundary condition, Finite difference method, Integral overdetermination condition, NONLOCAL BOUNDARY-CONDITIONS, NANOFLUID FLOW, PARABOLIC EQUATIONS, MODEL
  • Kocaeli University Affiliated: Yes

Abstract

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.