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


Baglan I.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.23, ss.884-900, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 23 Konu: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/17415977.2014.947479
  • Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
  • Sayfa Sayıları: ss.884-900

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.