Identification of the Solely Time-Dependent Zero-Order Coefficient in a Linear Bi-Flux Diffusion Equation from an Integral Measurement

Authors : Ibrahim Tekin, Mehmet Akif Çetin

Pages : 170-176

Doi:10.33401/fujma.1248680

View : 41 | Download : 48

Publication Date : 2023-09-30

Article Type : Research

Abstract :Bi-flux diffusion equation, can be easily affected by the existence of external factors, is known as an anomalous diffusion. In this paper, the inverse problem (IP) of determining the solely time-dependent zero-order coefficient in a linear Bi-flux diffusion equation with initial and homogeneous boundary conditions from an integral additional specification of the energy is considered. The unique solvability of the inverse problem is demonstrated by using the contraction principle for sufficiently small times.
Keywords : Inverse problem, Bi-flux equation, Fourier method