The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data

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Atıf İçin Kopyala

Kanca F., İSMAİLOV M.

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, cilt.20, sa.4, ss.463-476, 2012 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 20 Sayı: 4
• Basım Tarihi: 2012
• Doi Numarası: 10.1080/17415977.2011.629093
• Dergi Adı: INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.463-476
• Kocaeli Üniversitesi Adresli: Evet

Özet

This article considers the problem of simultaneously determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional heat equation in the case of nonlocal boundary and integral overdetermination conditions. The conditions for the existence and uniqueness of a classical solution of the problem under considerations are established. A numerical example using the Crank-Nicolson finite-difference scheme combined with an iteration method is presented and the sensitivity of this scheme with respect to noisy overdetermination data is illustrated.