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Numerical Solution to a Class of Inverse Problems for Parabolic Equation

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Cybernetics and Systems Analysis Aims and scope

Abstract

A class of inverse problems for parabolic equation is considered. In particular, boundary value problems with nonlocal conditions are reduced to such class of problems. The proposed numerical approach is based on the method of lines to reduce the problem to a system of ordinary differential equations. To solve this system, an analog of the transfer method for boundary conditions is applied. The results of numerical experiments are given.

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Authors and Affiliations

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

    A. B. Rahimov

  2. Aix-Marseille University, Institut Fresnel, Marseille, France

    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. 3, May–June, 2017, pp. 73–84.

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Rahimov, A.B. Numerical Solution to a Class of Inverse Problems for Parabolic Equation. Cybern Syst Anal 53, 392–402 (2017). https://doi.org/10.1007/s10559-017-9939-1

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  • DOI: https://doi.org/10.1007/s10559-017-9939-1

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