Research Article

Stability of Solution of Quasilinear Parabolic Two-Dimensional with Inverse Coefficient by Fourier Method

Volume: 6 Number: 1 July 4, 2023
EN

Stability of Solution of Quasilinear Parabolic Two-Dimensional with Inverse Coefficient by Fourier Method

Abstract

In this article, the heat inverse two-dimensional quasilinear parabolic problem is examined. The stability and numerical solution for the problem are discussed.Since the problem is not linear, Picard's successive approximations theorem is used. In the numerical part, the solution is made with the finite difference and linearization method.

Keywords

References

  1. 1. Sharma, P.R., Methi, G. (2012). Solution of two-dimensional parabolic equation subject to non-local conditions using homotopy Perturbation method, Jour. of App.Com., 1, 12-16.
  2. 2. Cannon, J. Lin, Y. (1899). Determination of parameter p(t) in Hölder classes for some semi linear parabolic equations, Inverse Problems, 4, 595-606.
  3. 3. Dehghan, M. (2005). Efficient techniques for the parabolic equation subject to nonlocal specifications, Applied Numerical Mathematics, 52(1), 39-62,2005.
  4. 4. Dehghan, M. (2001). Implicit Solution of a Two-Dimensional Parabolic Inverse Problem with Temperature Overspecification, Journal of Computational Analysis and Applications, 3(4).
  5. 5. Bağlan, I., Kanca, F. (2020). Solution of the boundary-value problem of heat conduction wıth periodic boundary conditions, Ukrainian Mathematical Journal, 72(2), 232-245.
  6. 6. Bağlan, I., Kanca, F. (2020). Two-dimensional inverse quasilinear parabolic problems with periodic boundary conditions of the boundary-value problem of heat conduction with periodic boundary conditions, Applicable Analysis, 98(8), 1549-1565.
  7. 7. Ionkin, N.I. (1977). Solution of a boundary value problem in heat conduction with a nonclassical boundary condition, Differential Equations, 13, 204-211.
  8. 8. Hill G.W. (1886), On the part of the motion of the lunar perigee which is a function of the mean motions of the sun and moon, Acta Mathematica, 8,1-36.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

July 4, 2023

Submission Date

May 11, 2023

Acceptance Date

June 19, 2023

Published in Issue

Year 2023 Volume: 6 Number: 1

APA
Bağlan, İ. (2023). Stability of Solution of Quasilinear Parabolic Two-Dimensional with Inverse Coefficient by Fourier Method. Natural and Applied Sciences Journal, 6(1), 9-20. https://doi.org/10.38061/idunas.1296023
AMA
1.Bağlan İ. Stability of Solution of Quasilinear Parabolic Two-Dimensional with Inverse Coefficient by Fourier Method. Natural and Applied Sciences Journal. 2023;6(1):9-20. doi:10.38061/idunas.1296023
Chicago
Bağlan, İrem. 2023. “Stability of Solution of Quasilinear Parabolic Two-Dimensional With Inverse Coefficient by Fourier Method”. Natural and Applied Sciences Journal 6 (1): 9-20. https://doi.org/10.38061/idunas.1296023.
EndNote
Bağlan İ (July 1, 2023) Stability of Solution of Quasilinear Parabolic Two-Dimensional with Inverse Coefficient by Fourier Method. Natural and Applied Sciences Journal 6 1 9–20.
IEEE
[1]İ. Bağlan, “Stability of Solution of Quasilinear Parabolic Two-Dimensional with Inverse Coefficient by Fourier Method”, Natural and Applied Sciences Journal, vol. 6, no. 1, pp. 9–20, July 2023, doi: 10.38061/idunas.1296023.
ISNAD
Bağlan, İrem. “Stability of Solution of Quasilinear Parabolic Two-Dimensional With Inverse Coefficient by Fourier Method”. Natural and Applied Sciences Journal 6/1 (July 1, 2023): 9-20. https://doi.org/10.38061/idunas.1296023.
JAMA
1.Bağlan İ. Stability of Solution of Quasilinear Parabolic Two-Dimensional with Inverse Coefficient by Fourier Method. Natural and Applied Sciences Journal. 2023;6:9–20.
MLA
Bağlan, İrem. “Stability of Solution of Quasilinear Parabolic Two-Dimensional With Inverse Coefficient by Fourier Method”. Natural and Applied Sciences Journal, vol. 6, no. 1, July 2023, pp. 9-20, doi:10.38061/idunas.1296023.
Vancouver
1.İrem Bağlan. Stability of Solution of Quasilinear Parabolic Two-Dimensional with Inverse Coefficient by Fourier Method. Natural and Applied Sciences Journal. 2023 Jul. 1;6(1):9-20. doi:10.38061/idunas.1296023