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- Title
Numerical Inversion of Space-Time-Dependent Sources in the Integer-Fractional Two-Region Solute Transport System.
- Authors
Chengyuan Yu; Wenyi Liu; Gongsheng Li
- Abstract
This article deals with an inverse problem of determining two space-time-dependent sources in an integerfractional mobile-immobile two-region solute transport system by additional Dirichlet-Neumann data. The unique existence of a solution to the forward problem is obtained by the method of Laplace transform, and a dynamical system connecting the known data with the unknown sources is established by variational method and boundary homogenization. The dynamical system is discretized to a linear system at a given time in a homogenous polynomial space, and the sources are reconstructed by alternative iterations and Tikhonov regularization. Numerical examples are presented to illustrate the validity of the inversion algorithm.
- Subjects
INVERSE problems; DYNAMICAL systems; TIKHONOV regularization; LINEAR systems; POLYNOMIAL time algorithms; ASYMPTOTIC homogenization; INVERSIONS (Geometry); EXISTENCE theorems
- Publication
IAENG International Journal of Applied Mathematics, 2024, Vol 54, Issue 6, p1136
- ISSN
1992-9978
- Publication type
Article