Brahim, NouiriKhayra, Djerioui2024-07-122024-07-122019Brahim, 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. 138.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2121This 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.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessInverse problemTime-fractional diffusion-wave equationDifference methodArticle139138