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Dergiler / Turkish Journal of Science / 2020 / Cilt: 5 Sayı: 3

Continuous Dependence on Data for a Solution of determination of an unknown source of Heat Conduction of Poly(methyl methacrylate) (PMMA)

İrem Bağlan(kocaeli üniversitesi)
Timur Canel(KOCAELİ ÜNİVERSİTESİ)0000-0002-4282-1806
Sayfa
214–219
Yayın Tarihi
2020-12-30
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quasilinear Parabolic Equation · Inverse Problem · Periodic Boundary Condition

Abstract

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.

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Bu Makaleye Atıf Yap

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, Cilt: 5 Sayı: 3, 214–219. https://ajindex.com/articles/1557549

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Kaynakça (17)

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  12. 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.
  13. 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.
  14. 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.
  15. M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol.143 (2): 375-391.
  16. F.Kanca,I. Baglan,An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions, Boundary Value Problems, 2013, V.213.
  17. 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.