11 Citations (Scopus)

Abstract

In this paper, an inverse problem of recovering a leading time-dependent coefficient from nonlocal additional information is investigated. To approximately solve the nonlinear inverse problems, we propose a gradient method of minimizing an objective functional. A comparative analysis with a method based on a linearized approximation scheme with respect to time is performed. The results of numerical calculations are presented.

Original languageEnglish
Pages (from-to)38-44
Number of pages7
JournalNumerical Analysis and Applications
Volume11
Issue number1
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • nonlocal condition
  • numerical methods
  • parabolic equation
  • time-dependent coefficient inverse problem

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