Optimization method for determining the source term in fractional diffusion equation

Yong-Ki Ma, P. Prakash and A. Deiveegan

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 155, issue C, 168-176

Abstract: In this paper, we determine a spacewise dependent source in one-dimensional fractional diffusion equation. On the basis of the optimal control method, the existence, uniqueness and stability of the minimizer for the cost functional are established. The Landweber iteration method is applied to the inverse problem.

Keywords: Inverse problem; Source term; Fractional diffusion equation; Regularization; Optimal control (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:155:y:2019:i:c:p:168-176

DOI: 10.1016/j.matcom.2018.03.003

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