• A parameter-uniform weak Galerkin finite element method for a coupled system of singularly perturbed reaction-diffusion equations 

  Toprakseven, Şuayip; Zhu, Peng (Faculty of Sciences and Mathematics, University of Nis, Serbia, 2023)

  The aim of this paper to investigate a weak Galerkin finite element method (WG-FEM) for solving a system of coupled singularly perturbed reaction-diffusion equations. Each equation in the system has perturbation parameter ...

• 3D-CNN and autoencoder-based gas detection in hyperspectral images 

  Özdemir, Okan Bilge; Koz, Alper (IEEE, 2023)

  The detection of gas emission levels is a crucial problem for ecology and human health. Hyperspectral image analysis offers many advantages over traditional gas detection systems with its detection capability from safe ...

• Uphill resampling for particle filter and its implementation on graphics processing unit 

  Dülger, Özcan; Oğuztüzün, Halit; Demirekler, Mübeccel (Science Direct, 2023)

  We introduce a new resampling method, named Uphill, that is free from numerical instability and suitable for parallel implementation on graphics processing unit (GPU). Common resampling algorithms such as Systematic suffer ...

• DeepSR: a deep learning tool for image super resolution 

  Temiz, Hakan (ELSEVIER, 2023)

  An open source tool is introduced that provides a versatile environment to meet the needs of re- searchers in developing deep learning (DL) algorithms for single image super-resolution reconstruction (SISR). The processes ...

• Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms 

  Toprakseven, Şuayip; Zhu, Peng (Elsevier, 2023)

  A weak Galerkin finite element method is proposed for solving singularly perturbed problems with two parameters. A robust uniform optimal convergence has been proved in the corresponding energy and a stronger balanced norms ...

• Optimal order uniform convergence in energy and balanced norms of weak Galerkin finite element method on Bakhvalov-type meshes for nonlinear singularly perturbed problems 

  Toprakseven, Şuayip (Springer Heidelberg, 2022)

  In this paper, we propose a weak Galerkin finite element method (WG-FEM) for solving nonlinear boundary value problems of reaction–diffusion type on a Bakhvalov-type mesh. A robust optimal order of uniform convergence on ...

• Superconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problems 

  Toprakseven, Şuayip (Springer Verlag Italia Srl, 2022)

  In this paper, superconvergence approximations of the modified weak Galerkin finite element method for the singularly perturbed two-point elliptic boundary-value problem have been studied. On the piecewise uniform Shishkin ...

• Uniform convergent modified weak Galerkin method for convection-dominated two-point boundary value problems 

  Toprakseven, Şuayip; Zhu, Peng (Scientific Technical Research Council Turkey-Tubitak, 2021)

  We propose and analyze a modified weak Galerkin finite element method (MWG-FEM) for solving singularly perturbed problems of convection-dominated type. The proposed method is constructed over piecewise polynomials of degree ...

• New matrix domain derived by the matrix product 

  Karakaya, Vatan; Şimşek, Recep; Doğan, Kadri (UNİV NIS, 2016)

  In this work, we define new sequence spaces by using the matrix obtained by product of factorable matrix and generalized difference matrix of order m. Afterward, we investigate topological structure which are completeness, ...

• An alternative distribution to Weibull for modeling the wind speed data: Inverse Weibull distribution 

  Akgül, Fatma Gül; Şenoğlu, Birdal; Arslan, Talha (Pergamon-Elsevier Science Ltd, 2016)

  Weibull distribution is widely used for modeling the wind speed data in literature. However, in real life, the wind speed data may not always be modeled by using the Weibull distribution. In other words, it may not represent ...

• Classical and Bayesian estimation of multicomponent stress–strength reliability for exponentiated Pareto distribution 

  Akgül, Fatma Gül (Springer Science and Business Media Deutschland GmbH, 2021)

  This study deals with the classical and Bayesian estimation of reliability in a multicomponent stress–strength model by assuming that both stress and strength variables follow exponentiated Pareto distribution. First, the ...

• A weak Galerkin finite element method for time fractional reaction-diffusion-convection problems with variable coefficients 

  Toprakseven, Şuayip (Elsevier BV, 2021)

  In this paper, a weak Galerkin finite element method for solving the time fractional reaction-convection diffusion problem is proposed. We use the well known L1 discretization in time and a weak Galerkin finite element ...

• Estimation of P(X < Y) using ranked set sampling for the Weibull distribution 

  Akgül, Fatma Gül; Şenoğlu, Birdal (NCTU- National Chiao Tung University Press, 2017)

  This paper deals with making inferences regarding system reliability R = P(X < Y) when the distribution of the stress X and the strength Y are independent Weibull. In the literature, estimators based on simple random ...

• Iterative schemes for solving regularized nonconvex mixed equilibrium problems 

  Ansari, Qamrul Hasan; Balooee, Javad; Doğan, Kadri (Yokohama Publications, 2017)

  This paper introduces a new class of equilibrium problems called regularized nonconvex mixed equilibrium problems involving two nonlinear bifunctions. By using the auxiliary principle technique, some iterative algorithms ...

• Some fixed point results for a new three steps iteration process in banach spaces 

  Karakaya, Vatan; Atalan, Yunus; Doğan, Kadri; Bouzara, Nour El Houda (House Book Science-Casa Cartii Stiinta, 2017)

  In this paper, we introduce a three step iteration method and show that this method can be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this iteration method is equivalent to ...

• Estimation of P(X < Y) using some modifications of ranked set sampling for weibull distribution 

  Şenoğlu, Birdal; Akgül, Fatma Gül (Univ Punjab, 2017)

  In statistical literature, estimation of R = P(X < Y) is a commonly-investigated problem, and consequently, there have been considerable number of studies dealing with its estimation of it under simple random sampling ...

• Inference for the jones and faddy's skewed t-distribution based on progressively type-II censored samples 

  Şenoğlu, Birdal; Akgül, Fatma Gül (Gazi Üniversity, 2017)

  In this paper, the location and the scale parameters of Jones and Faddy’s skewed t (JFST) distribution are estimated based on progressively Type-II censored samples. We obtain maximum likelihood (ML) and modified maximum ...

• The local and semilocal convergence analysis of new Newton-like iteration methods 

  Karakaya, Vatan; Atalan, Yunus; Bouzara, Nour El Houda (Scientific Technical Research Council Turkey-Tubitak, 2018)

  The aim of this paper is to find new iterative Newton-like schemes inspired by the modified Newton iterative algorithm and prove that these iterations are faster than the existing ones in the literature. We further investigate ...

• Inferences on stress-strength reliability based on ranked set sampling data in case of Lindley distribution 

  Akgül, Fatma Gül; Acıtaş, Şükrü; Şenoğlu, Birdal (Taylor & Francis Inc, 2018)

  In this study, we consider point and interval estimation of stress-strength reliability R = P(X < Y) based on ranked set sampling when the distribution of the stress and the strength are both Lindley. Firstly, maximum ...

• Interval estimation of the system reliability for Weibull distribution based on ranked set sampling data 

  Akgül, Fatma Gül; Şenoğlu, Birdal; Acıtaş, Şükrü (Hacettepe Univ, 2018)

  Inference for the system reliability R is one of the most popular problems in the areas of engineering, statistics, biostatistics and etc. Therefore, there exist considerable numbers of studies concerning this problem. ...

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