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Dergiler / Eastern Anatolian Journal of Science / 2021 / Volume: 7 Issue: 2

Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method

İrem Bağlan(kocaeli üniversitesi)0000-0002-1877-9791
Timur Canel(KOCAELİ ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0002-4282-1806
Sayfa
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Yayın Tarihi
2021-12-09
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It demonstrated the solution by the Fourier approximation.It proved continuously dependence upon the data of the solution by iteration method.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, higher order inverse quasi-linear parabolic problem was investigated.
📊
Temel Bulgular & Veri:In this paper, higher order inverse quasi-linear parabolic problem was investigated.
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Sonuç & Katkı:It demonstrated the solution by the Fourier approximation.It proved continuously dependence upon the data of the solution by iteration method.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:inverse problem · periodic boundary conditions · Fourier method

Abstract

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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Bu Makaleye Atıf Yap

Bağlan, İ., Canel, T. (2021). Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method. Eastern Anatolian Journal of Science, Volume: 7 Issue: 2. https://ajindex.com/articles/1475656

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Kaynakça (11)

  1. 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.
  2. 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.
  3. M. Dehghan,Efficient techniques for the second-order parabolic equation subject to nonlocal specifications,Applied Numerical Mathematics,2005;vol. 52 (1):39-62.
  4. M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol.143 (2): 375-391.
  5. M. Dehghan,Implicit Solution of a Two-Dimensional Parabolic Inverse Problem with Temperature Overspecification,Journal of Computational Analysis and Applications,2001;vol. 3:4.
  6. N.I. Ionkin, Solution of a boundary-value problem in heat conduction with a nonclassical boundary condition.Differential Equations,1977; vol.13: 204-211.
  7. 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.
  8. 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.
  9. M. Dehghan,Efficient techniques for the second-order parabolic equation subject to nonlocal specifications,Applied Numerical Mathematics,2005;vol. 52 (1):39-62.
  10. M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol.143 (2): 375-391.
  11. N.I. Ionkin, Solution of a boundary-value problem in heat conduction with a nonclassical boundary condition.Differential Equations,1977; vol.13: 204-211.