Inverse Problem of Finding the Time-dependent Coefficient of Heat Equation from Integral Overdetermination Condition Data

2010/04/30 by Mansur I. Ismailov, Ismailov, Mansur I., Fatma Kanca +1
Computer Science · Mathematics · #35K20 #35R30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #math.AP #msc:35K20 #msc:35R30

paper · pdf · doi:10.48550/arxiv.1004.5505

14 pages

arxiv created 2010/04/30 · openalex publication_date 2010/04/30 · arxiv updated 2015/03/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the problem of simultaneously determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional heat equation in the case of nonlocal boundary and integral overdetermination conditions. We establish conditions for the existence and uniqueness of a classical solution of the problem under considerations. We present some results on the numerical solution with an example.

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