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On the Numerical Solution to an Inverse Problem of Recovering a Source of Special Type in a Parabolic Equation

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Cybernetics and Systems Analysis Aims and scope

Abstract

We consider an inverse problem of recovering a source of special type in a parabolic equation under initial and boundary conditions. The specificity of the problem is that the identifiable parameters depend only on a time variable and are factors of coefficient of the free term of the right-hand side of the equation. We propose a numerical method to solve the problem, based on the method of lines and a special representation of the solution. The method does not require any iterative procedures to be generated. The results of numerical experiments conducted for test problems are provided.

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Authors and Affiliations

  1. Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan

    A. B. Rahimov

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  1. A. B. Rahimov
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Correspondence to A. B. Rahimov.

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Translated from Kibernetika i Sistemnyi Analiz, No. 4, July–August, 2020, pp. 108–118.

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Rahimov, A.B. On the Numerical Solution to an Inverse Problem of Recovering a Source of Special Type in a Parabolic Equation. Cybern Syst Anal 56, 611–620 (2020). https://doi.org/10.1007/s10559-020-00278-x

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