Research Article

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

Volume: 5 Number: ICOLES2021 Special Issue November 30, 2022
EN

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

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.

Keywords

Supporting Institution

Kocaeli University

Project Number

Unit(ID:1599)

References

  1. [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. [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. [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. [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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

November 30, 2022

Submission Date

November 29, 2021

Acceptance Date

January 3, 2022

Published in Issue

Year 2022 Volume: 5 Number: ICOLES2021 Special Issue

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
AMA
1.Bağlan İ. Solution of parabolic problem with inverse coefficient s(t) with periodic and integral conditions. KOJOSE. 2022;5(ICOLES2021 Special Issue):1-9. doi:10.34088/kojose.1030080
Chicago
Bağlan, İrem. 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.
EndNote
Bağlan İ (November 1, 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.
IEEE
[1]İ. Bağlan, “Solution of parabolic problem with inverse coefficient s(t) with periodic and integral conditions”, KOJOSE, vol. 5, no. ICOLES2021 Special Issue, pp. 1–9, Nov. 2022, doi: 10.34088/kojose.1030080.
ISNAD
Bağlan, İrem. “Solution of Parabolic Problem With Inverse Coefficient S(t) With Periodic and Integral Conditions”. Kocaeli Journal of Science and Engineering 5/ICOLES2021 Special Issue (November 1, 2022): 1-9. https://doi.org/10.34088/kojose.1030080.
JAMA
1.Bağlan İ. Solution of parabolic problem with inverse coefficient s(t) with periodic and integral conditions. KOJOSE. 2022;5:1–9.
MLA
Bağlan, İrem. “Solution of Parabolic Problem With Inverse Coefficient S(t) With Periodic and Integral Conditions”. Kocaeli Journal of Science and Engineering, vol. 5, no. ICOLES2021 Special Issue, Nov. 2022, pp. 1-9, doi:10.34088/kojose.1030080.
Vancouver
1.İrem Bağlan. Solution of parabolic problem with inverse coefficient s(t) with periodic and integral conditions. KOJOSE. 2022 Nov. 1;5(ICOLES2021 Special Issue):1-9. doi:10.34088/kojose.1030080