1] J,R.Cannon , Y.Lin , Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 1988,
4:595-606.
[2] R.Pourgholia , M.Rostamiana and M.Emamjome, A numerical method for solving a nonlinear inverse parabolic problem. Inverse Problems in
Science and Engineering, 2010, 18(8):1151-1164.
[3] P.R.Sharma , G. Methi, Solution of two dimensional parabolic equation subject to Non-local conditionsusing homotopy Perturbation method.
Jour. of App.Com. Sci,2012; vol.1:12-16.
[4] M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol
.143 (2): 375-391.
[5] E. Set, A.O. Akdemir, B. Çelik, On Generalization of Fejér Type Inequalities via fractional integral opera-tor,2018, Filomat, Vol 32: Issue 16.
[6] A.O. Akdemir, E. Set and A. Ekinci, On new conformable fractional integral inequalities for product ofdi¤erent kinds of convexity, TWMS
Journal of Applied and Engineering Mathematics,2019, Vol 9, Issue 1,142-150.
[7] A. ERGÜN, "TheMultiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Inside A Finite Interval", Turkish
Journal of Science, Volume 5, Issue 2, 73-84, 2020.
[8] A. Ergün and R. Amirov, “Direct and Inverse problems for diffusion operator with discontinuıty points,” Journal of Applied and Engineering
Mathematics, vol. 9, no. 1, pp. 9–21, Jan. 2019.
[9] A. Ergün, “Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions,” Cumhuriyet Science Journal,
vol. 39, no. 4, pp. 842–863, Jul. 2018.
[10] F.Kanca ,I. Baglan ,An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions, Boundary Value
Problems , 2013, V.213.
[11] F.Kanca ,I.Baglan ,An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions, Journal
of inequalities and applications, 2014, V.76.
Continuous Dependence on Data for a Solution of determination of an unknown source of Heat Conduction of Poly(methyl methacrylate) (PMMA)
In this paper,we consider a coefficient problem of an inverse problem of a quasilinear parabolic equation with periodic boundary and integral over determination conditions.It showed the stability of the solution by iteration method and examined numerical solution.
1] J,R.Cannon , Y.Lin , Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 1988,
4:595-606.
[2] R.Pourgholia , M.Rostamiana and M.Emamjome, A numerical method for solving a nonlinear inverse parabolic problem. Inverse Problems in
Science and Engineering, 2010, 18(8):1151-1164.
[3] P.R.Sharma , G. Methi, Solution of two dimensional parabolic equation subject to Non-local conditionsusing homotopy Perturbation method.
Jour. of App.Com. Sci,2012; vol.1:12-16.
[4] M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol
.143 (2): 375-391.
[5] E. Set, A.O. Akdemir, B. Çelik, On Generalization of Fejér Type Inequalities via fractional integral opera-tor,2018, Filomat, Vol 32: Issue 16.
[6] A.O. Akdemir, E. Set and A. Ekinci, On new conformable fractional integral inequalities for product ofdi¤erent kinds of convexity, TWMS
Journal of Applied and Engineering Mathematics,2019, Vol 9, Issue 1,142-150.
[7] A. ERGÜN, "TheMultiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Inside A Finite Interval", Turkish
Journal of Science, Volume 5, Issue 2, 73-84, 2020.
[8] A. Ergün and R. Amirov, “Direct and Inverse problems for diffusion operator with discontinuıty points,” Journal of Applied and Engineering
Mathematics, vol. 9, no. 1, pp. 9–21, Jan. 2019.
[9] A. Ergün, “Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions,” Cumhuriyet Science Journal,
vol. 39, no. 4, pp. 842–863, Jul. 2018.
[10] F.Kanca ,I. Baglan ,An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions, Boundary Value
Problems , 2013, V.213.
[11] F.Kanca ,I.Baglan ,An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions, Journal
of inequalities and applications, 2014, V.76.
Bağlan, İ., & Canel, T. (2020). Continuous Dependence on Data for a Solution of determination of an unknown source of Heat Conduction of Poly(methyl methacrylate) (PMMA). Turkish Journal of Science, 5(3), 214-219.
AMA
Bağlan İ, Canel T. Continuous Dependence on Data for a Solution of determination of an unknown source of Heat Conduction of Poly(methyl methacrylate) (PMMA). TJOS. Aralık 2020;5(3):214-219.
Chicago
Bağlan, İrem, ve Timur Canel. “Continuous Dependence on Data for a Solution of Determination of an Unknown Source of Heat Conduction of Poly(methyl Methacrylate) (PMMA)”. Turkish Journal of Science 5, sy. 3 (Aralık 2020): 214-19.
EndNote
Bağlan İ, Canel T (01 Aralık 2020) Continuous Dependence on Data for a Solution of determination of an unknown source of Heat Conduction of Poly(methyl methacrylate) (PMMA). Turkish Journal of Science 5 3 214–219.
IEEE
İ. Bağlan ve T. Canel, “Continuous Dependence on Data for a Solution of determination of an unknown source of Heat Conduction of Poly(methyl methacrylate) (PMMA)”, TJOS, c. 5, sy. 3, ss. 214–219, 2020.
ISNAD
Bağlan, İrem - Canel, Timur. “Continuous Dependence on Data for a Solution of Determination of an Unknown Source of Heat Conduction of Poly(methyl Methacrylate) (PMMA)”. Turkish Journal of Science 5/3 (Aralık 2020), 214-219.
JAMA
Bağlan İ, Canel T. Continuous Dependence on Data for a Solution of determination of an unknown source of Heat Conduction of Poly(methyl methacrylate) (PMMA). TJOS. 2020;5:214–219.
MLA
Bağlan, İrem ve Timur Canel. “Continuous Dependence on Data for a Solution of Determination of an Unknown Source of Heat Conduction of Poly(methyl Methacrylate) (PMMA)”. Turkish Journal of Science, c. 5, sy. 3, 2020, ss. 214-9.
Vancouver
Bağlan İ, Canel T. Continuous Dependence on Data for a Solution of determination of an unknown source of Heat Conduction of Poly(methyl methacrylate) (PMMA). TJOS. 2020;5(3):214-9.