Bilgisayar Bilimleri Fakültesi
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Positive solutions of multipoint φLaplacian BVPs with firstorder derivative dependence
(World Scientific, 2023)This paper concerns existence of positive solutions for a secondorder boundary value problem of SturmLiouville type associated with a φLaplacian operator and posed on a bounded interval. Existence results are obtained ... 
Numerical solutions of the kawahara equation by the septic Bspline collocation method
(International Academic Press, 2014)In this article, a numerical solution of the Kawahara equation is presented by septic Bspline collocation method. Applying the VonNeumann stability analysis, the present method is shown to be unconditionally stable. The ... 
A cubic Bspline Galerkin approach for the numerical simulation of the GEW equation
(International Academic Press, 2016)The generalized equal width (GEW) wave equation is solved numerically by using lumped Galerkin approach with cubic Bspline functions. The proposed numerical scheme is tested by applying two test problems including single ... 
Normal Mixture ModelBased Clustering of Data Using Genetic Algorithm
(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 pLaplacian dynamic equations on time scales
(WILEY, 2017)In this paper, we investigate the existence of positive solutions for a nonlinear mpoint boundary value problem for the pLaplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As ... 
Solitarywave solutions of the GRLW equation using septic Bspline collocation method
(ELSEVIER SCIENCE INC, 2016)In this work, solitarywave solutions of the generalized regularized long wave (GRLW) equation are obtained by using septic Bspline collocation method with two different linearization techniques. To demonstrate the ... 
A septic Bspline collocation method for solving the generalized equal width wave equation
(ACADEMIC PUBLICATION COUNCIL, 2016)In this work, a septic Bspline 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 NONLINEAR SYSTEMS
(KOREAN SOC COMPUTATIONAL & APPLIED MATHEMATICS & KOREAN SIGCAM, 2017)In this study, Taylor matrix algorithm is designed for the approximate solution of linear and nonlinear differential equation systems. The algorithm is essentially based on the expansion of the functions in differential ... 
THE EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMIPOSITONE SECONDORDER mPOINT BOUNDARY VALUE PROBLEM
(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(m2)(i1) alpha (i)u(xi(i)), u'(1) = Sigma (m2)(i=1) beta(i) ... 
ON THE EXISTENCE OF POSITIVE SOLUTIONS FOR THE ONEDIMENSIONAL pLAPLACIAN BOUNDARY VALUE PROBLEMS ON TIME SCALES
(DYNAMIC PUBLISHERS, INC, 2015)In this paper, we study the following pLaplacian 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)  B0(u(Delta)(0)) = 0, ... 
Existence of Countably Many Positive Solutions for Nonlinear Boundary Value Problems on Time Scales
(NATURAL SCIENCES PUBLISHING CORPNSPPO 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 fixedpoint index theory and a new fixedpoint theorem in cones, the ... 
A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic Bspline
(Springer, 2016)In this work, we construct the lumped Galerkin approach based on cubic Bsplines 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 nonsmooth optimization solvers in HANSO software
(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
(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
(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAKATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 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 thirdorder mpoint pLaplacian dynamic equations on time scales
(WILEY111 RIVER ST, HOBOKEN 070305774, NJ, 2016)This work deals with the existence and uniqueness of a nontrivial solution for the thirdorder pLaplacian mpoint eigenvalue problems on time scales. We find several sufficient conditions of the existence and uniqueness ... 
APPLICATION OF THE COLLOCATION METHOD WITH BSPLINES TO THE GEW EQUATION
(KENT STATE UNIVERSITYETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, OH 442420001, 2017)In this paper, the generalized equal width (GEW) wave equation is solved numerically by using a quintic Bspline collocation algorithm with two different linearization techniques. Also, a linear stability analysis of the ... 
On the existence of positive solutions of the pLaplacian dynamic equations on time scales
(WILEY111 RIVER ST, HOBOKEN 070305774, NJ, 2017)In this paper, we investigate the existence of positive solutions for a nonlinear mpoint boundary value problem for the pLaplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As ... 
On the Existence of Positive Solutions for the TimeScale Dynamic Equations on Infinite Intervals
(Springer, 2020)This paper investigates the existence of positive solutions to timescale boundary value problems on infinite intervals. By applying the LeggettWilliams fixed point theorem in a cone, some new results for the existence ... 
ROI Detection in Mammogram Images using WaveletBased Haralick and HOG Features
(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 ...