Solution of parabolic problem with inverse coefficient s(t) with periodic and integral conditions

Yıl 2022, Cilt: 5 Sayı: ICOLES2021 Special Issue, 1 - 9, 30.11.2022

İrem Bağlan

https://doi.org/10.34088/kojose.1030080

Öz

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.

Anahtar Kelimeler

NonlinearProblem, Inverse Problem, Integral Condition, Finite Difference Method

Destekleyen Kurum

Kocaeli University

Proje Numarası

Unit(ID:1599)

Kaynakça

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• [3] 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.
• [4] 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.