Bilgisayar Bilimleri Fakültesi
Recent Submissions

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, 2021)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 ... 
TRIPLE POSITIVE SOLUTIONS OF mPOINT BOUNDARY VALUE PROBLEM ON TIME SCALES WITH pLAPLACIAN
(SPRINGER SINGAPORE PTE LTD#0401 CENCON I, 1 TANNERY RD, SINGAPORE 347719, SINGAPORE, 2017)In this paper, we consider the multipoint boundary value problem for onedimensional pLaplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by ... 
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 ... 
A New Semisupervised Classification Method Based on Mixture Model Clustering for Classification of Multispectral Data
(SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA, 2018)A new method for semisupervised classification of remotelysensed multispectral image data is developed in this study. It consists of unsupervisedclustering for data labelling and supervisedclassification of clusters ... 
Positive solutions of nonlinear multipoint boundary value problems
(SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2018)This paper deals with the existence of positive solutions of nonlinear differential equation subject to the boundary conditions By using Schauder's fixed point theorem, we show that it has at least one positive solution ... 
Solutions to nonlinear secondorder threepoint boundary value problems of dynamic equations on time scales
(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 ANKARA, TURKEY, 01.09.2019)In this paper, we consider existence criteria of three positive solutions of threepoint boundary value problems for pLaplacian dynamic equations on time scales. To show our main results, we apply the wellknown ... 
A collocation algorithm based on quintic Bsplines for the solitary wave simulation of the GRLW equation
(SHARIF UNIV TECHNOLOGY, PO BOX 111558639, TEHRAN, 00000, IRAN, 2019)In this article, a collocation algorithm based on quintic Bsplines is proposed to find a numerical solution to the nonlinear Generalized Regularized Long Wave (GRLW) equation. Moreover, to analyze the linear stability of ... 
Existence of positive solutions for nonlinear multipoint pLaplacian dynamic equations on time scales
(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 ANKARA, TURKEY, 2020)In this paper, we investigate the existence of positive solutions for nonlinear multipoint boundary value problems for pLaplacian dynamic equations on time scales with the delta derivative of the nonlinear term. Sufficient ... 
Existence of positive solutions to multipoint third order problems with sign changing nonlinearities
(UNIV TARTU PRESS, 1 W STRUVE ST, TARTU, 50091, ESTONIA, 2020)In this paper, the authors examine the existence of positive solutions to a thirdorder boundary value problem having a sign changing nonlinearity. The proof makes use of fixed point index theory. An example is included ... 
EXISTENCE OF POSITIVE SOLUTIONS FOR pLAPLACIAN AN mPOINT BOUNDARY VALUE PROBLEM INVOLVING THE DERIVATIVE ON TIME SCALES
(TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA, 2014)We are interested in the existence of positive solutions for the pLaplacian dynamic equation on time scales (phi(P)(u(Delta)(t)))(V) a(t)f (t, u Delta(t), (t)) = 0, t is an element of (0,T)(T), subject to the multipoint ... 
EXISTENCE OF THREE POSITIVE SOLUTIONS FOR AN mPOINT BOUNDARYVALUE PROBLEM ON TIME SCALES
(TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA, 2013)We study an mpoint boundaryvalue problem on times scales. By using a fixed point theorem, we prove the existence of at least three positive solutions, under suitable growth conditions imposed on the nonlinear term. An ... 
Existence of multiple positive solutions for pLaplacian multipoint boundary value problems on time scales
(SPRINGEROPEN, CAMPUS, 4 CRINAN ST, LONDON, N1 9XW, ENGLAND, 2013)In this paper, we consider pLaplacian multipoint boundary value problems on time scales. By using a generalization of the LeggettWilliams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has ... 
Multiple positive solutions of nonlinear mpoint dynamic equations for pLaplacian on time scales
(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 ANKARA, TURKEY, 2016)In this paper, we study the existence of positive solutions of a nonlinear mpoint pLaplacian dynamic equation (phi(p) (x(Delta)(t)))(del) w(t)f (t,x(t), x(Delta)(t)) = 0, t(1) < m1 X(ti)  B0 (Sigma m1 i=2 a(i)x(Delta)(t(i))) ...