An inverse diffusion-wave problem defined in heterogeneous medium with additional boundary measurement
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
This talk deals an inverse problem to determine a space-dependent coefficient in a one-dimensional time fractional diffusion-wave equation defined in heterogeneous medium with additional boundary measurement. We construct the finite difference scheme for the direct problem based on the equivalent partial integrodifferential equation. Under the weak smoothness conditions, we prove that our scheme is stable and convergent using the matrix analysis. Based on the least squares method with Tikhonov regularization is introduced to determine the space-dependent coefficient, and an inversion algorithm is performed by two numerical examples. This inversion algorithm is effective at least for this inverse problem.
Açıklama
Anahtar Kelimeler
Inverse problem, Time-fractional diffusion-wave equation, Difference method
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Brahim, N. ve Khayra, D. (2019). An inverse diffusion-wave problem defined in heterogeneous medium with additional boundary measurement. International Conference of Mathematical Sciences (ICMS 2019). s. 138.
