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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

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.

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

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.