Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition

Baglan I.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.23, sa.5, ss.884-900, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/17415977.2014.947479
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.884-900
  • Anahtar Kelimeler: integral overdetermination condition, periodic boundary conditions, inverse problem, quasilinear parabolic equation, time-dependent coefficient, TIME-DEPENDENT COEFFICIENT, PARTIAL-DIFFERENTIAL-EQUATION, INVERSE PROBLEM, PARAMETER, SUBJECT
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we consider the problem of determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional quasilinear heat equation with periodic boundary and integral overdetermination conditions. We establish conditions for the existence, uniqueness and continuous dependent of a classical solution of the problem under considerations. We present some results on the numerical solution with two examples.