Two-dimensional inverse quasilinear parabolic problem with periodic boundary condition

BAĞLAN İ., Kanca F.

APPLICABLE ANALYSIS, vol.98, no.8, pp.1549-1565, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 98 Issue: 8
  • Publication Date: 2019
  • Doi Number: 10.1080/00036811.2018.1434149
  • Journal Name: APPLICABLE ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1549-1565
  • Keywords: Finite-difference method, inverse problem, parabolic equation, periodic boundary conditions, EQUATION SUBJECT
  • Kocaeli University Affiliated: Yes

Abstract

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.