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

Year 2021, Volume: 7 Issue: 2, 35 - 41, 09.12.2021

İrem Bağlan Timur Canel

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

inverse problem periodic boundary conditions Fourier method

References

  • [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] 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] M. Dehghan,Efficient techniques for the second-order parabolic equation subject to nonlocal specifications ,Applied Numerical Mathematics,2005;vol. 52 (1):39-62.
  • [4] M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol .143 (2): 375-391.
  • [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] N.I. Ionkin , Solution of a boundary-value problem in heat conduction with a nonclassical boundary condition.Differential Equations,1977; vol.13: 204-211.

Year 2021, Volume: 7 Issue: 2, 35 - 41, 09.12.2021

İrem Bağlan Timur Canel

Abstract

References

  • [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] 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] M. Dehghan,Efficient techniques for the second-order parabolic equation subject to nonlocal specifications ,Applied Numerical Mathematics,2005;vol. 52 (1):39-62.
  • [4] M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol .143 (2): 375-391.
  • [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] N.I. Ionkin , Solution of a boundary-value problem in heat conduction with a nonclassical boundary condition.Differential Equations,1977; vol.13: 204-211.
There are 6 citations in total.

Details

Primary Language English
Journal Section makaleler
Authors

İrem Bağlan 0000-0002-1877-9791

Timur Canel 0000-0002-4282-1806

Publication Date December 9, 2021
Published in Issue Year 2021 Volume: 7 Issue: 2

Cite

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.
AMA 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. December 2021;7(2):35-41.
Chicago 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 7, no. 2 (December 2021): 35-41.
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 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, 2021.
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 2021), 35-41.
JAMA 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, 2021, pp. 35-41.
Vancouver 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.