Yönetim Bilişim Sistemleri Bölümü Koleksiyonu

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Citation Count: 8
An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition
(Wiley-Blackwell, 2015) Bağlan, İrem Sakınç; Kanca, Fatma
In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity and consistency conditions on the input data the existence uniqueness and continuous dependence upon the data of the solution are shown. Some considerations on the numerical solution for this inverse problem are presented with an example. Copyright (c) 2014 John Wiley & Sons Ltd.
Citation Count: 1
Weak generalized and numerical solution for a quasilinear pseudo-parabolic equation with nonlocal boundary condition
(Springer International Publishing, 2014) Bağlan, İrem Sakınç; Kanca, Fatma
This paper investigates the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the input data the existence uniqueness convergence of the weak generalized solution and also continuous dependence upon the data of the solution are shown by using the generalized Fourier method. We construct an iteration algorithm for the numerical solution of this problem.