Kanca, Fatma

Profile URL
https://hdl.handle.net/20.500.14627/496
Name Variants
Kanca, Fatma Kanca, F.
Job Title
Profesör
Email Address
fatma.kanca@fbu.edu.tr
Main Affiliation
Bilgisayar Mühendisliği Bölümü
Status
Website
ORCID ID
0000-0002-7815-2915
Scopus Author ID
37066259800
Turkish CoHE Profile ID
Google Scholar ID
URO5zvkAAAAJ
WoS Researcher ID
ABA-7683-2021
Files
photo_21054.jpg.jpg (6.68 MB)

Research Topics

Domains
Physical Sciences
Fields
MathematicsComputer Science
Subfields
Applied MathematicsMathematical PhysicsComputational Theory and MathematicsNumerical AnalysisModeling and Simulation
Specific Research Areas
Differential Equations and Boundary Problems
Numerical methods in inverse problems
Advanced Mathematical Modeling in Engineering
Differential Equations and Numerical Methods
Fractional Differential Equations Solutions

Sustainable Development Goals

SDG data is not available

Publication Collaboration

Affiliation Name Count
Kocaeli Üniversitesi 14
Fenerbahçe University 8
Kadir Has University 6
Indira Gandhi National Tribal University 3
Gebze Technical University 1
1 / 2
Data obtained from OpenAlex
Scholarly Output

8

Articles

7

WoS Citation Count

20

Scopus Citation Count

29

Filters

2018 - 201922020 - 20246

Settings

Author of Publication: search.filters.isAuthorOfPublication.d7fec9ab-cfc3-48ef-800a-ecf867e5e84e

Scholarly Output Search Results

Now showing 1 - 8 of 8
  • Article
    Citation - WoS: 3
    Citation - Scopus: 5
    Analysis for Two-Dimensional Inverse Quasilinear Parabolic Problem by Fourier Method
    (Taylor & Francis Ltd, 2021) Kanca, Fatma; Baglan, Irem
    In this work, two-dimensional inverse quasi-linear parabolic problem with periodic boundary and integral overdetermination conditions is investigated. The formal solution is obtained by the Fourier approximation. Under some natural regularity and consistency conditions on the input data,the existence, uniqueness and continuously dependence upon the data of the solution are proved by iteration method. The inverse problem is first examined by linearization and then used implicit finite difference scheme for the numerical solution. Also predictor corrector method is considered in the numerical approach. Some results on the numerical solution with two examples are presented with figures and tables. The sensitivity of the scheme with respect to noisy overdetermination data is illustrated.
  • Article
    Fourier Method for Higher Dimensional Inverse Quasi-Linear Parabolic Problem
    (Wiley, 2020) 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.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Fourier Method for an Existence of Quasilinear Inverse Pseudo-Parabolic Equation
    (Tarbiat Modares Univ, Acecr, 2024) Baglan, Irem; Kanca, Fatma; Mishra, Vishnu Narayan
    In this work, the inverse quasi -linear pseudo -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.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Identification Problem of a Leading Coefficient To the Time Derivative of Parabolic Equation With Nonlocal Boundary Conditions
    (Springer international Publishing Ag, 2019) Kanca, Fatma; Mishra, Vishnu Narayan
    In this study, the problem of determining the time-dependent leading coefficient to the time derivative of heat equation with nonlocal boundary and integral addition conditions is considered. The existence and uniqueness of a solution of the inverse problem under considerations are established. Some results on the numerical solution with an example are presented.
  • Article
    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.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 3
    Solution of the Boundary-Value Problem of Heat Conduction With Periodic Boundary Conditions
    (Springer, 2020) Kanca, F.; Baglan, I.
    We investigate the solution of the inverse problem for a linear two-dimensional parabolic equation with periodic boundary and integral overdetermination conditions. Under certain natural regularity and consistency conditions imposed on the input data, we establish the existence, uniqueness of the solution, and its continuous dependence on the data by using the generalized Fourier method. In addition, an iterative algorithm is constructed for the numerical solution of the problem.
  • Conference Object
    Citation - WoS: 3
    Citation - Scopus: 5
    Inverse Problem for Euler-Bernoulli Equation With Periodic Boundary Condition
    (Univ Nis, Fac Sci Math, 2018) Kanca, Fatma; Baglan, Irem
    In this work the inverse coefficient problem for Euler-Bernoulli equation with periodic boundary and integral addition conditions is investigated. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown by using the generalized Fourier method. Numerical tests using the implicit finite difference scheme combined with an iterative method are presented and discussed. Also an example is presented with figures.
  • Article
    Solution of Inverse Euler-Bernoulli Problem With Integral Overdetermination and Periodic Boundary Conditions
    (Tarbiat Modares Univ, Acecr, 2022) Baglan, Irem; Kanca, Fatma; Mishra, Vishnu Narayan
    In this work, we tried to find the inverse coefficient in the Euler problem with over determination conditions. It showed the existence, stability of the solution by iteration method and linearization method was used for this problem in numerical part. Also two examples are presented with figures.