This paper deals with 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. Then, we construct the explicit finite difference scheme for the direct problem based on the equivalent partial integro-differential equation and Simpson's rule. Using the matrix analysis and mathematical induction, we prove that our scheme is stable and convergent . The least squares method with homotopy regularization is introduced to determine the space-dependent coefficient, and an inversion algorithm is performed by one numerical example. This inversion algorithm is effective at least for this inverse problem.
Inverse problem time-fractional diffusion-wave equation Finite difference method
Birincil Dil | İngilizce |
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Konular | Yazılım Mühendisliği (Diğer) |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Haziran 2019 |
Kabul Tarihi | 20 Kasım 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 1 Sayı: 1 |