Yazar "Atay, Mehmet Tarik" için listeleme
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Analysis of the motion of a rigid rod on a circular surface using interpolated variational iteration method
Coskun, Safa Bozkurt; Senturk, Erman; Atay, Mehmet Tarik (YILDIZ TECHNICAL UNIV, 2022)In this paper, interpolated variational iteration method (IVIM) is applied to investigate the vibration period and steady-state response for the motion of rigid rod rocking back and forth on a circular surface without ... -
Haar wavelet collocation method for linear first order stiff differential equations
Atay, Mehmet Tarik; Mertaslan, Onur Metin; Agca, Musa Kasim; Yilmaz, Abdulkadir; Toker, Batuhan (E D P SCIENCES17 AVE DU HOGGAR PARC D ACTIVITES COUTABOEUF BP 112, F-91944 CEDEX A, FRANCE, 2020)In general, there are countless types of problems encountered from different disciplines that can be represented by differential equations. These problems can be solved analytically in simpler cases; however, computational ... -
Interpolated variational iteration method for solving the jamming transition problem
Coskun, Safa Bozkurt; Atay, Mehmet Tarik; Senturk, Erman (ELSEVIER, RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS, 2019)The purpose of this study is to present an analytical based numerical solution for Jamming Transition Problem (JTP) using Interpolated Variational Iteration Method (IVIM). The method eliminates the difficulties on analytical ... -
The Numerical Solutions for Stiff Ordinary Differential Equations by Using Interpolated Variational Iteration Method with Comparison to Exact Solutions
Ciftci, Cihan; Cayci, Hatice Sinem Sas; Atay, Mehmet Tarik; Toker, Batuhan; Guncan, Berkay; Yildirim, Afsin Talha (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)Recently proposed Interpolated Variational Iteration Method (IVIM) is used to find numerical solutions of stiff ordinary differential equations for both linear and nonlinear problems. The examples are given to illustrate ... -
On Critical Buckling Loads of Columns under End Load Dependent on Direction
Başbük, Musa; Eryılmaz, Aytekin; Atay, Mehmet Tarik (Hindawi Publishing Corporation, 2014)Most of the phenomena of various fields of applied sciences are nonlinear problems. Recently, various types of analytical approximate solution techniques were introduced and successfully applied to the nonlinear differential ... -
Preface of the Symposium on: "advances in Analytical, Analytical Approximate, Numerical and Asymptotic Analysis of Sturm-Liouville Problems with the Applications in Engineering"
Atay, Mehmet Tarik; Erdogan, Hakan (American Institute of Physics Inc., 2017)Preface of the Symposium on: "advances in Analytical, Analytical Approximate, Numerical and Asymptotic Analysis of Sturm-Liouville Problems with the Applications in Engineering" -
Solution of jamming transition problem using adomian decomposition method
Senturk, Erman; Coskun, Safa Bozkurt; Atay, Mehmet Tarik (EMERALD GROUP PUBLISHING LTD, HOWARD HOUSE, WAGON LANE, BINGLEY BD16 1WA, W YORKSHIRE, ENGLAND, 2018)Purpose The purpose of the study is to obtain an analytical approximate solution for jamming transition problem (JTP) using Adomian decomposition method (ADM). Design/methodology/approach In this study, the jamming ... -
Twist-Bend Instability of a Cantilever Beam Subjected to an End Load via Homotopy Perturbation Method
Yucesoy, Ahmet; Coskun, Safa Bozkurt; Atay, Mehmet Tarik (AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA, 2018)In this article, twist-bend buckling analysis of a cantilever beam subjected to a concentrated end load is conducted using Homotopy Perturbation Method (HPM). Even in the linear stability analysis, obtaining an exact ... -
A uniformly valid approximation algorithm for nonlinear ordinary singular perturbation problems with boundary layer solutions
Cengizci, Suleyman; Atay, Mehmet Tarik; Eryilmaz, Aytekin (SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND, 2016)This paper is concerned with two-point boundary value problems for singularly perturbed nonlinear ordinary differential equations. The case when the solution only has one boundary layer is examined. An efficient method so ...
