This paper deals with an inverse problem to determine a space-dependent coeffcient in a one-dimensional time fractional diffusion-wave equation de ned in heterogeneous medium with additional boundary measurement. Then, we construct the explicit nite 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 coeffcient, and an inversion algorithm is performed by one numerical example. This inversion algorithm is effective at least for this inverse problem.
Citation
Brahim Nouiri ,
KHAYRA Djerioui ,
, (2019), An inverse diffusion-wave problem defined in heterogeneous medium with additional boundary measurement, Proceedings of International Mathematical Sciences,
Vol:1, Issue:1, pages:16-21, URL: https://dergipark.org.tr/tr/pub/pims
