Research Article

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

Volume: 6 Number: 3 December 30, 2021
EN

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

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

Project Number

2019/094

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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 30, 2021

Submission Date

October 11, 2021

Acceptance Date

December 25, 2021

Published in Issue

Year 2021 Volume: 6 Number: 3

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. https://izlik.org/JA24JD98WT
AMA
1.Bağlan İ, Canel T. Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject with Periodic Boundary Conditions. TJOS. 2021;6(3):148-155. https://izlik.org/JA24JD98WT
Chicago
Bağlan, İrem, and Timur Canel. 2021. “Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject With Periodic Boundary Conditions”. Turkish Journal of Science 6 (3): 148-55. https://izlik.org/JA24JD98WT.
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
[1]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, Dec. 2021, [Online]. Available: https://izlik.org/JA24JD98WT
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 1, 2021): 148-155. https://izlik.org/JA24JD98WT.
JAMA
1.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, Dec. 2021, pp. 148-55, https://izlik.org/JA24JD98WT.
Vancouver
1.İrem Bağlan, Timur Canel. Fourier Method for Higher Order Quasi-Linear Parabolic Equation Subject with Periodic Boundary Conditions. TJOS [Internet]. 2021 Dec. 1;6(3):148-55. Available from: https://izlik.org/JA24JD98WT