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Journals / Fundamental Journal of Mathematics and Applications / 2023 / Cilt: 6 Sayı: 3

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

İbrahim TEKİN
Mehmet Akif ÇETİN
Pages
170–176
Publication Date
2023-09-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The unique solvability of the inverse problem is demonstrated by using the contraction principle for sufficiently small times.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Bi-flux diffusion equation, can be easily affected by the existence of external factors, is known as an anomalous diffusion.
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Key Findings & Data: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.
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Conclusion & Impact:The unique solvability of the inverse problem is demonstrated by using the contraction principle for sufficiently small times.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Inverse problem · Bi-flux equation · Fourier method

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.

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Cite This Article

TEKİN, İ., ÇETİN, M. A. (2023). Identification of the Solely Time-Dependent Zero-Order Coefficient in a Linear Bi-Flux Diffusion Equation from an Integral Measurement. Fundamental Journal of Mathematics and Applications, Cilt: 6 Sayı: 3, 170–176. https://ajindex.com/articles/964189

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