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

Supporting Institution

kocaeli üniversitesi

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 1970 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