Araştırma Makalesi
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An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA)

Yıl 2020, Cilt: 5 Sayı: 3, 199 - 207, 30.12.2020

Öz

.In this research, we consider a coefficient problem of an inverse problem of a quasilinear pseudo-parabolic
equation with periodic boundary condition. It proved the existence, uniqueness and continuously dependence upon
the data of the solution by iteration method.

Kaynakça

  • [1] Cannon J,R., Lin Y., Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 1988,4:595-606.
  • [2] Pourgholia R, Rostamiana M and Emamjome M., A numerical method for solving a nonlinear inverse parabolic problem. Inverse Problems inScience 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, TWMSJournal of Applied and Engineering Mathematics,2019, Vol 9, Issue 1,142-150.
  • [7] A. ERGÜN, "The Multiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Inside A Finite Interval", TurkishJournal 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 EngineeringMathematics, 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] Kanca F.,Baglan I.,An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions, Boundary ValueProblems , 2013, V.213.
  • [11] Kanca F.,Baglan I.,An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions, Journalof inequalities and applications, 2014, V.76.

Yıl 2020, Cilt: 5 Sayı: 3, 199 - 207, 30.12.2020

Öz

Kaynakça

  • [1] Cannon J,R., Lin Y., Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 1988,4:595-606.
  • [2] Pourgholia R, Rostamiana M and Emamjome M., A numerical method for solving a nonlinear inverse parabolic problem. Inverse Problems inScience 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, TWMSJournal of Applied and Engineering Mathematics,2019, Vol 9, Issue 1,142-150.
  • [7] A. ERGÜN, "The Multiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Inside A Finite Interval", TurkishJournal 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 EngineeringMathematics, 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] Kanca F.,Baglan I.,An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions, Boundary ValueProblems , 2013, V.213.
  • [11] Kanca F.,Baglan I.,An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions, Journalof inequalities and applications, 2014, V.76.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

İrem Bağlan

Timur Canel

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

Kaynak Göster

APA Bağlan, İ., & Canel, T. (2020). An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). Turkish Journal of Science, 5(3), 199-207.
AMA Bağlan İ, Canel T. An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). TJOS. Aralık 2020;5(3):199-207.
Chicago Bağlan, İrem, ve Timur Canel. “An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA)”. Turkish Journal of Science 5, sy. 3 (Aralık 2020): 199-207.
EndNote Bağlan İ, Canel T (01 Aralık 2020) An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). Turkish Journal of Science 5 3 199–207.
IEEE İ. Bağlan ve T. Canel, “An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA)”, TJOS, c. 5, sy. 3, ss. 199–207, 2020.
ISNAD Bağlan, İrem - Canel, Timur. “An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA)”. Turkish Journal of Science 5/3 (Aralık2020), 199-207.
JAMA Bağlan İ, Canel T. An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). TJOS. 2020;5:199–207.
MLA Bağlan, İrem ve Timur Canel. “An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA)”. Turkish Journal of Science, c. 5, sy. 3, 2020, ss. 199-07.
Vancouver Bağlan İ, Canel T. An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). TJOS. 2020;5(3):199-207.