• Positive solutions of multipoint φ-Laplacian BVPs with first-order derivative dependence 

  Bachouche K.; Tair H.; DOĞAN, Abdülkadir (World Scientific, 2023)

  This paper concerns existence of positive solutions for a second-order boundary value problem of Sturm-Liouville type associated with a φ-Laplacian operator and posed on a bounded interval. Existence results are obtained ...

• Numerical solutions of the kawahara equation by the septic B-spline collocation method 

  Karakoç, Battal Gazi; Zeybek, Halil; Ak, Turgut (International Academic Press, 2014)

  In this article, a numerical solution of the Kawahara equation is presented by septic B-spline collocation method. Applying the Von-Neumann stability analysis, the present method is shown to be unconditionally stable. The ...

• A cubic B-spline Galerkin approach for the numerical simulation of the GEW equation 

  Battal Gazi Karakoç S.; Zeybek, Halil (International Academic Press, 2016)

  The generalized equal width (GEW) wave equation is solved numerically by using lumped Galerkin approach with cubic B-spline functions. The proposed numerical scheme is tested by applying two test problems including single ...

• Normal Mixture Model-Based Clustering of Data Using Genetic Algorithm 

  Gogebakan, Maruf; Erol, Hamza (SPRINGER INTERNATIONAL PUBLISHING AG, 2020)

  In this study, a new algorithm was developed for clustering multivariate big data. Normal mixture distributions are used to determine the partitions of variables. Normal mixture models obtained from the partitions of variables ...

• On the existence of positive solutions of the p-Laplacian dynamic equations on time scales 

  DOĞAN, Abdülkadir (WILEY, 2017)

  In this paper, we investigate the existence of positive solutions for a nonlinear m-point boundary value problem for the p-Laplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As ...

• Solitary-wave solutions of the GRLW equation using septic B-spline collocation method 

  Karakoc, Seydi; Zeybek, Halil (ELSEVIER SCIENCE INC, 2016)

  In this work, solitary-wave solutions of the generalized regularized long wave (GRLW) equation are obtained by using septic B-spline collocation method with two different linearization techniques. To demonstrate the ...

• A septic B-spline collocation method for solving the generalized equal width wave equation 

  Karakoc, Seydi B. G.; Zeybek, Halil (ACADEMIC PUBLICATION COUNCIL, 2016)

  In this work, a septic B-spline collocation method is implemented to find the numerical solution of the generalized equal width (GEW) wave equation by using two different linearization techniques. Test problems including ...

• A NEW APPROACH FOR NUMERICAL SOLUTION OF LINEAR AND NON-LINEAR SYSTEMS 

  Zeybek, Halil; Dolapci, Ihsan Timucin (KOREAN SOC COMPUTATIONAL & APPLIED MATHEMATICS & KOREAN SIGCAM, 2017)

  In this study, Taylor matrix algorithm is designed for the approximate solution of linear and non-linear differential equation systems. The algorithm is essentially based on the expansion of the functions in differential ...

• THE EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMIPOSITONE SECOND-ORDER m-POINT BOUNDARY VALUE PROBLEM 

  Dogan, Abdulkadir (DYNAMIC PUBLISHERS, INC, 2015)

  In this paper, we study the existence of positive solutions to boundary value problem {u '' + lambda f(t,u)=0, t is an element of(0,1); u(0)=Sigma(m-2)(i-1) alpha (i)u(xi(i)), u'(1) = Sigma (m-2)(i=1) beta(i) ...

• ON THE EXISTENCE OF POSITIVE SOLUTIONS FOR THE ONE-DIMENSIONAL p-LAPLACIAN BOUNDARY VALUE PROBLEMS ON TIME SCALES 

  Dogan, Abdulkadir (DYNAMIC PUBLISHERS, INC, 2015)

  In this paper, we study the following p-Laplacian boundary value problems on time scales {(phi(p)(u(Delta)(t)))(del) + a(t)f(t, u(t), u(Delta)(t)) = 0, t is an element of [0,T](T), u(0) - B-0(u(Delta)(0)) = 0, ...

• Existence of Countably Many Positive Solutions for Nonlinear Boundary Value Problems on Time Scales 

  Dogan, Abdulkadir (NATURAL SCIENCES PUBLISHING CORP-NSPPO BOX 32038, ISA TOWN 00000, BAHRAIN, 2014)

  In this paper, we consider the existence of countably many positive solutions for nonlinear singular boundary value problem on time scales. By using the fixed-point index theory and a new fixed-point theorem in cones, the ...

• A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic B-spline 

  Zeybek, Halil; Karakoç, Battal Gazi (Springer, 2016)

  In this work, we construct the lumped Galerkin approach based on cubic B-splines to obtain the numerical solution of the generalized regularized long wave equation. Applying the von Neumann approximation, it is shown that ...

• Comparative assessment of smooth and non-smooth optimization solvers in HANSO software 

  Tor, Ali Hakan (Balikesir University, 2022)

  The aim of this study is to compare the performance of smooth and nonsmooth optimization solvers from HANSO (Hybrid Algorithm for Nonsmooth Optimization) software. The smooth optimization solver is the implementation of ...

• A Modified Multiple Shooting Algorithm for Parameter Estimation in ODEs Using Adjoint Sensitivity Analysis 

  Aydogmus, Ozgur; Tor, Ali Hakan (ELSEVIER SCIENCE INCSTE 800, 230 PARK AVE, NEW YORK, NY 10169, 2021)

  To increase the predictive power of a model, one needs to estimate its unknown parameters. Almost all parameter estimation techniques in ordinary differential equation models suffer from either a small convergence region ...

• Existence results for a class of boundary value problems for fractional differential equations 

  Dogan, Abdulkadir (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAKATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY, 2021)

  By application of some fixed point theorems, that is, the Banach fixed point theorem, Schaefer's and the LeraySchauder fixed point theorem, we establish new existence results of solutions to boundary value problems of ...

• Eigenvalue problems for nonlinear third-order m-point p-Laplacian dynamic equations on time scales 

  Dogan, Abdulkadir (WILEY111 RIVER ST, HOBOKEN 07030-5774, NJ, 2016)

  This work deals with the existence and uniqueness of a nontrivial solution for the third-order p-Laplacian m-point eigenvalue problems on time scales. We find several sufficient conditions of the existence and uniqueness ...

• APPLICATION OF THE COLLOCATION METHOD WITH B-SPLINES TO THE GEW EQUATION 

  Zeybek, Halil; Karakoc, S. Battal Gazi (KENT STATE UNIVERSITYETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, OH 44242-0001, 2017)

  In this paper, the generalized equal width (GEW) wave equation is solved numerically by using a quintic B-spline collocation algorithm with two different linearization techniques. Also, a linear stability analysis of the ...

• On the existence of positive solutions of the p-Laplacian dynamic equations on time scales 

  Dogan, Abdulkadir (WILEY111 RIVER ST, HOBOKEN 07030-5774, NJ, 2017)

  In this paper, we investigate the existence of positive solutions for a nonlinear m-point boundary value problem for the p-Laplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As ...

• On the Existence of Positive Solutions for the Time-Scale Dynamic Equations on Infinite Intervals 

  Dogan A. (Springer, 2020)

  This paper investigates the existence of positive solutions to time-scale boundary value problems on infinite intervals. By applying the Leggett-Williams fixed point theorem in a cone, some new results for the existence ...

• ROI Detection in Mammogram Images using Wavelet-Based Haralick and HOG Features 

  Tasdemir, Sena Busra Yengec; Tasdemir, Kasim; Aydin, Zafer (IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA, 2018)

  Digital mammography is a widespread medical imaging technique that is used for early detection and diagnosis of breast cancer. Detecting the region of interest (ROI) helps to locate the abnormal areas, which may be analyzed ...

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