Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.23, sa.5, ss.884-900, 2015 (SCI-Expanded)
- 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.