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.
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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
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.
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.