Numerical methods for determining an unknown space wise dependent source in the heat equation

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Atıf İçin Kopyala

Can E., Bayrak M. A., Kaplan F.

International journal of Engineering sciences and management, cilt.5, sa.1, 2015 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 5 Sayı: 1
• Basım Tarihi: 2015
• Dergi Adı: International journal of Engineering sciences and management
• Kocaeli Üniversitesi Adresli: Evet

Özet

This paper describes and compares two effective methods for the numerical solution of an unknown space dependent source function in the heat equation. One of these methods is obtained by differentiating the equation with respect to the time variable and using the finite-difference method, while the other is based on the trace type functional formulation of the problem.