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Fourier Method for Higher Dimensional Inverse Quasi-Linear Parabolic Problem
(Wiley, 2021) Baglan, Irem; Kanca, Fatma
In this work, higher-dimensional inverse quasi-linear parabolic problem was investigated. We demonstrated the solution by the Fourier approximation. The inverse problem was first examined by linearizing and then used implicit finite difference schema for the numerical solution.
Citation - WoS: 7
Citation - Scopus: 10
Inverse Problem for a Time Fractional Parabolic Equation With Nonlocal Boundary Conditions
(Mdpi, 2022) Ozbilge, Ebru; Kanca, Fatma; Ozbilge, Emre
This article considers an inverse problem of time fractional parabolic partial differential equations with the nonlocal boundary condition. Dirichlet-measured output data are used to distinguish the unknown coefficient. A finite difference scheme is constructed and a numerical approximation is made. Examples and numerical experiments, such as man-made noise, are provided to show the stability and efficiency of this numerical method.

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