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

Yıl 2021, Cilt: 7 Sayı: 2, 35 - 41, 09.12.2021

İrem Bağlan Timur Canel

Öz

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.

Anahtar Kelimeler

inverse problem periodic boundary conditions Fourier method

Kaynakça

  • [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.

Yıl 2021, Cilt: 7 Sayı: 2, 35 - 41, 09.12.2021

İrem Bağlan Timur Canel

Öz

Kaynakça

  • [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.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

İrem Bağlan 0000-0002-1877-9791

Timur Canel 0000-0002-4282-1806

Yayımlanma Tarihi 9 Aralık 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 7 Sayı: 2

Kaynak Göster

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. Aralık 2021;7(2):35-41.
Chicago Bağlan, İrem, ve 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, sy. 2 (Aralık 2021): 35-41.
EndNote Bağlan İ, Canel T (01 Aralık 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 ve T. Canel, “Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method”, Eastern Anatolian Journal of Science, c. 7, sy. 2, ss. 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 (Aralık 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 ve Timur Canel. “Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method”. Eastern Anatolian Journal of Science, c. 7, sy. 2, 2021, ss. 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.