An Economical Algorithm for Numerical Solution of the Problem of Identifying the Right-Hand Side of the Poisson Equation

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Abstract

We propose two economical algorithms for numerical solution of the problem of identifying the right-hand side of the Poisson equation from information on the solution on the boundary of the domain. Both algorithms are based on the method of separation of variables. The method is presented on a discrete level. We use the nonuniform grids along one of the coordinates. There are possible applications for operators with variable coefficients of a special kind.

Original languageEnglish
Pages (from-to)362-368
Number of pages7
JournalJournal of Applied and Industrial Mathematics
Volume12
Issue number2
DOIs
Publication statusPublished - 1 Apr 2018

Keywords

  • difference scheme
  • economical algorithm
  • elliptic equation
  • identification of the right-hand side
  • inverse problem
  • Poisson equation
  • separation of variables

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