Research Article

Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method

Volume: 7 Number: 2 December 9, 2021
EN

Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method

Abstract

In this paper, higher order inverse quasi-linear parabolic problem was investigated. It demonstrated the solution by the Fourier approximation.It proved continuously dependence upon the data of the solution by iteration method.

Keywords

References

  1. [1] P.R.Sharma , G. Methi, Solution of two dimensional parabolic equation subject to Non-local conditions using homotopy Perturbation method. Jour. of App.Com. Sci,2012; vol.1:12-16.
  2. [2] J,R.Cannon , Lin Y., Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations . Inverse Problems.,1989;vol.4:595-606.
  3. [3] M. Dehghan,Efficient techniques for the second-order parabolic equation subject to nonlocal specifications ,Applied Numerical Mathematics,2005;vol. 52 (1):39-62.
  4. [4] M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol .143 (2): 375-391.
  5. [5] M. Dehghan,Implicit Solution of a Two-Dimensional Parabolic Inverse Problem with Temperature Overspecification,Journal of Computational Analysis and Applications,2001;vol. 3:4.
  6. [6] N.I. Ionkin , Solution of a boundary-value problem in heat conduction with a nonclassical boundary condition.Differential Equations,1977; vol.13: 204-211.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 9, 2021

Submission Date

October 13, 2021

Acceptance Date

December 8, 2021

Published in Issue

Year 2021 Volume: 7 Number: 2

APA
Bağlan, İ., & Canel, T. (2021). Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method. Eastern Anatolian Journal of Science, 7(2), 35-41. https://izlik.org/JA49TN88TD
AMA
1.Bağlan İ, Canel T. Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method. Eastern Anatolian Journal of Science. 2021;7(2):35-41. https://izlik.org/JA49TN88TD
Chicago
Bağlan, İrem, and Timur Canel. 2021. “Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method”. Eastern Anatolian Journal of Science 7 (2): 35-41. https://izlik.org/JA49TN88TD.
EndNote
Bağlan İ, Canel T (December 1, 2021) Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method. Eastern Anatolian Journal of Science 7 2 35–41.
IEEE
[1]İ. Bağlan and T. Canel, “Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method”, Eastern Anatolian Journal of Science, vol. 7, no. 2, pp. 35–41, Dec. 2021, [Online]. Available: https://izlik.org/JA49TN88TD
ISNAD
Bağlan, İrem - Canel, Timur. “Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method”. Eastern Anatolian Journal of Science 7/2 (December 1, 2021): 35-41. https://izlik.org/JA49TN88TD.
JAMA
1.Bağlan İ, Canel T. Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method. Eastern Anatolian Journal of Science. 2021;7:35–41.
MLA
Bağlan, İrem, and Timur Canel. “Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method”. Eastern Anatolian Journal of Science, vol. 7, no. 2, Dec. 2021, pp. 35-41, https://izlik.org/JA49TN88TD.
Vancouver
1.İrem Bağlan, Timur Canel. Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method. Eastern Anatolian Journal of Science [Internet]. 2021 Dec. 1;7(2):35-41. Available from: https://izlik.org/JA49TN88TD