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Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject with Periodic Boundary Conditions

Year 2021, Volume: 6 Issue: 3, 148 - 155, 30.12.2021

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.

Project Number

2019/094

References

  • 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.
  • 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.
  • M. Dehghan,Efficient techniques for the second-order parabolic equation subject to nonlocal specifications ,Applied Numerical Mathematics,2005;vol. 52 (1):39-62.
  • M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol .143 (2): 375-391.
  • M. Dehghan,Implicit Solution of a Two-Dimensional Parabolic Inverse Problem with Temperature Overspecification,Journal of Computational Analysis and Applications,2001;vol. 3:4.
  • 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: 6 Issue: 3, 148 - 155, 30.12.2021

Abstract

Supporting Institution

kocaeli üniversitesi

Project Number

2019/094

References

  • 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.
  • 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.
  • M. Dehghan,Efficient techniques for the second-order parabolic equation subject to nonlocal specifications ,Applied Numerical Mathematics,2005;vol. 52 (1):39-62.
  • M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol .143 (2): 375-391.
  • M. Dehghan,Implicit Solution of a Two-Dimensional Parabolic Inverse Problem with Temperature Overspecification,Journal of Computational Analysis and Applications,2001;vol. 3:4.
  • 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 Volume VI Issue III
Authors

İrem Bağlan 0000-0002-1877-9791

Timur Canel 0000-0002-4282-1806

Project Number 2019/094
Publication Date December 30, 2021
Published in Issue Year 2021 Volume: 6 Issue: 3

Cite

APA Bağlan, İ., & Canel, T. (2021). Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject with Periodic Boundary Conditions. Turkish Journal of Science, 6(3), 148-155.
AMA Bağlan İ, Canel T. Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject with Periodic Boundary Conditions. TJOS. December 2021;6(3):148-155.
Chicago Bağlan, İrem, and Timur Canel. “Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject With Periodic Boundary Conditions”. Turkish Journal of Science 6, no. 3 (December 2021): 148-55.
EndNote Bağlan İ, Canel T (December 1, 2021) Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject with Periodic Boundary Conditions. Turkish Journal of Science 6 3 148–155.
IEEE İ. Bağlan and T. Canel, “Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject with Periodic Boundary Conditions”, TJOS, vol. 6, no. 3, pp. 148–155, 2021.
ISNAD Bağlan, İrem - Canel, Timur. “Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject With Periodic Boundary Conditions”. Turkish Journal of Science 6/3 (December 2021), 148-155.
JAMA Bağlan İ, Canel T. Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject with Periodic Boundary Conditions. TJOS. 2021;6:148–155.
MLA Bağlan, İrem and Timur Canel. “Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject With Periodic Boundary Conditions”. Turkish Journal of Science, vol. 6, no. 3, 2021, pp. 148-55.
Vancouver Bağlan İ, Canel T. Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject with Periodic Boundary Conditions. TJOS. 2021;6(3):148-55.