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BibTex RIS Kaynak Göster

Yıl 2020, Cilt: 5 Sayı: 3, 214 - 219, 30.12.2020

İrem Bağlan Timur Canel

Öz

Kaynakça

  • 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)

Yıl 2020, Cilt: 5 Sayı: 3, 214 - 219, 30.12.2020

İrem Bağlan Timur Canel

Öz

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.

Anahtar Kelimeler

Quasilinear Parabolic Equation Inverse Problem Periodic Boundary Condition

Kaynakça

  • 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.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Volume V Issue III 2020
Yazarlar

İrem Bağlan

Timur Canel 0000-0002-4282-1806

Yayımlanma Tarihi 30 Aralık 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 5 Sayı: 3

Kaynak Göster

APA 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.
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