Firstly, finding the existence, uniqueness and problem of stability, numerical analysis will be done by using the finite difference method for the numerical approximation of this problem.The solution is found examining the Fourier and the iteration method and also numerical solution are given using the finite difference method and results will be mentioned in the discussion section.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this publication, We examine the inverse parabolic parabolik with nonlocal and integral conditional.
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Temel Bulgular & Veri:In this publication, We examine the inverse parabolic parabolik with nonlocal and integral conditional.
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Sonuç & Katkı:Firstly, finding the existence, uniqueness and problem of stability, numerical analysis will be done by using the finite difference method for the numerical approximation of this problem.The solution is found examining the Fourier and the iteration method and also numerical solution are given using the finite difference method and results will be mentioned in the discussion section.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:NonlinearProblem · Inverse Problem · Integral Condition
Abstract
In this publication, We examine the inverse parabolic parabolik with nonlocal and integral conditional. Firstly, finding the existence, uniqueness and problem of stability, numerical analysis will be done by using the finite difference method for the numerical approximation of this problem.The solution is found examining the Fourier and the iteration method and also numerical solution are given using the finite difference method and results will be mentioned in the discussion section.
Bağlan, İ. (2022). Solution of parabolic problem with inverse coefficient s(t) with periodic and integral conditions. Kocaeli Journal of Science and Engineering, Cilt: 5 Sayı: ICOLES2021 Special Issue Özel Sayı, 1–9. https://doi.org/10.34088/kojose.1030080
Baglan I., Kanca F., Mishra V.N., 2018. Determination of an Unknown Heat Source from Integral Overdetermination Condition. Iran J Sci Technol Trans Sci, 42(3), pp.1373–1382.
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Baglan I., 2015. Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition. Inverse Problems in Science and Engineering, 23(5), pp.884–900.
Cannon J.R., Lin Y., 1988. Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 4(3), pp.595-606.