A note on the parabolic identification problem with involution and Dirichlet condition

Authors

  • A. Ashyralyev
  • A.S. Erdogan
  • A. Sarsenbi

DOI:

https://doi.org/10.31489/2020m3/130-139

Keywords:

well-posedness, elliptic equations, positivity, coercive stability, source identification, exact estimates, boundary value problem

Abstract

A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established. The stable difference scheme for the approximate solution of this problem is presented. Furthermore, stability estimates for the difference scheme of the source identification parabolic problem are presented. Numerical results are given.

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Published

2020-09-30

How to Cite

Ashyralyev, A., Erdogan, A., & Sarsenbi, A. (2020). A note on the parabolic identification problem with involution and Dirichlet condition. Bulletin of the Karaganda University. Mathematics Series, 99(3), 130–139. https://doi.org/10.31489/2020m3/130-139

Issue

2020 (99) 3

Section

MATHEMATICS