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Solution of parabolic problem with inverse coefficient s(t) with periodic and integral conditions

Year 2022, Volume: 5 Issue: ICOLES2021 Special Issue, 1 - 9, 30.11.2022
https://doi.org/10.34088/kojose.1030080

Abstract

In this publication, We examine the inverse parabolic parabolik with nonlocal and integral conditional. Firstly, finding the existence, uniqueness and problem of stability, numerical analysis will be done by using the finite difference method for the numerical approximation of this problem.The solution is found examining the Fourier and the iteration method and also numerical solution are given using the finite difference method and results will be mentioned in the discussion section.

Supporting Institution

Kocaeli University

Project Number

Unit(ID:1599)

References

  • [1] Baglan I., Kanca F., Mishra V.N., 2018. Determination of an Unknown Heat Source from Integral Overdetermination Condition. Iran J Sci Technol Trans Sci, 42(3), pp.1373–1382.
  • [2] Kanca F., Baglan I., 2013. Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition. Boundary Value Problems, 28(3), pp.55-67.
  • [3] Baglan I., 2015. Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition. Inverse Problems in Science and Engineering, 23(5), pp.884–900.
  • [4] Cannon J.R., Lin Y., 1988. Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 4(3), pp.595-606.
Year 2022, Volume: 5 Issue: ICOLES2021 Special Issue, 1 - 9, 30.11.2022
https://doi.org/10.34088/kojose.1030080

Abstract

Project Number

Unit(ID:1599)

References

  • [1] Baglan I., Kanca F., Mishra V.N., 2018. Determination of an Unknown Heat Source from Integral Overdetermination Condition. Iran J Sci Technol Trans Sci, 42(3), pp.1373–1382.
  • [2] Kanca F., Baglan I., 2013. Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition. Boundary Value Problems, 28(3), pp.55-67.
  • [3] Baglan I., 2015. Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition. Inverse Problems in Science and Engineering, 23(5), pp.884–900.
  • [4] Cannon J.R., Lin Y., 1988. Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 4(3), pp.595-606.
There are 4 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

İrem Bağlan 0000-0002-1877-9791

Project Number Unit(ID:1599)
Early Pub Date June 30, 2022
Publication Date November 30, 2022
Acceptance Date January 3, 2022
Published in Issue Year 2022 Volume: 5 Issue: ICOLES2021 Special Issue

Cite

APA Bağlan, İ. (2022). Solution of parabolic problem with inverse coefficient s(t) with periodic and integral conditions. Kocaeli Journal of Science and Engineering, 5(ICOLES2021 Special Issue), 1-9. https://doi.org/10.34088/kojose.1030080