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

Year 2023, Volume: 6 Issue: 3, 170 - 176, 30.09.2023

İbrahim Tekin , Mehmet Akif Çetin

https://doi.org/10.33401/fujma.1248680

Cited By: 1

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

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