Browsing by Author "Atay, Mehmet Tarik"
Now showing items 1-17 of 17
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Analysis of convective straight and radial fins with temperature-dependent thermal conductivity using variational iteration method with comparison with respect to finite element analysis
Coskun, Safa Bozkurt; Atay, Mehmet Tarik (HINDAWI LTD, 2007)In order to enhance heat transfer between primary surface and the environment, radiating extended surfaces are commonly utilized. Especially in the case of large temperature differences, variable thermal conductivity has ... -
Comment to paper entitled "Application of the analytical hierarchy process in the selection of desalination plants" in 174 (2005) 97-108
Basaran, Murat Alper; Dilek, Emine Figen; Atay, Mehmet Tarik (ELSEVIER SCIENCE BV, 2010)The paper entitled "Application of the analytical hierarchy process in the selection of desalination plants" used Analytical Hierarchy Process in order to choose the best desalination plant using four alternatives ... -
Comparative Analysis of Power-Law Fin-Type Problems Using Variational Iteration Method and Finite Element Method
Atay, Mehmet Tarik; Coskun, Safa Bozkurt (HINDAWI PUBLISHING CORPORATION, 2008)Variational iteration method is applied to examine the temperature distribution within a single fin with a one-dimensional steady-state nonlinear heat conduction equation. Variation of temperature due to different levels ... -
Computation of Eigenvalues of Sturm-Liouville Problems using Homotopy Perturbation Method
Atay, Mehmet Tarik; Kartal, Senol (FREUND PUBLISHING HOUSE LTD, 2010)In this paper, a recently proposed analytical approximation technique, namely Homotopy Perturbation Method (HPM) is presented to compute eigenvalues of second and fourth order Sturm-Liouville problems. These types of ... -
Determination of Buckling Loads and Mode Shapes of a Heavy Vertical Column under its Own Weight Using the Variational Iteration Method
Okay, Fuad; Atay, Mehmet Tarik; Coskun, Safa Bozkurt (WALTER DE GRUYTER GMBH, 2010)This paper applies the variational iteration method for finding buckling loads and mode shapes of a heavy column. The study shows efficiency of the method and accuracy of the obtained analytic approximate solution. -
Determination of Buckling Loads of Tilted Buckled Column with Varying Flexural Rigidity Using Variational Iteration Method
Atay, Mehmet Tarik (FREUND PUBLISHING HOUSE LTD, 2010)In this paper, Variational Iteration Method (VIM) is applied for finding buckling loads of a tilted buckled column with varying flexural rigidity, which is an important engineering problem in structural analysis and design ... -
Determination of critical buckling load for elastic columns of constant and variable cross-sections using variational iteration method
Coskun, Safa Bozkurt; Atay, Mehmet Tarik (PERGAMON-ELSEVIER SCIENCE LTD, 2009)In this paper, variational iteration method (VIM) is applied to the problem of determination of critical buckling loads for Euler columns with constant and variable cross-sections. VIM is a powerful method for the solution ... -
Determination of Critical Buckling Loads for Variable Stiffness Euler Columns Using Homotopy Perturbation Method
Atay, Mehmet Tarik (WALTER DE GRUYTER GMBH, 2009)In this paper, a new perturbation method namely, Homotopy Perturbation Method (HPM), is applied to buckling of non-uniform columns problem, which is an important engineering problem, because of the fact that determining ... -
Effects of nonlinearity on the variational iteration solutions of nonlinear two-point boundary value problems with comparison with respect to finite element analysis
Atay, Mehmet Tarik; Coskun, Safa Bozkurt (HINDAWI LTD, 2008)Solution of a nonlinear two-point boundary value problem is studied using variational iteration method (VIM) considering its convergence behavior due to the changing nonlinearity effects in the equation. To achieve this, ... -
Elastic stability of Euler columns with a continuous elastic restraint using variational iteration method
Atay, Mehmet Tarik; Coskun, Safa Bozkurt (PERGAMON-ELSEVIER SCIENCE LTD, 2009)In this paper, analysis of elastic stability for continuously restrained Euler columns is conducted by means of variational iteration method (VIM). A uniform homogeneous column is assumed to be restrained along its length. ... -
Fin efficiency analysis of convective straight fins with temperature dependent thermal conductivity using variational iteration method
Coskun, Safa Bozkurt; Atay, Mehmet Tarik (PERGAMON-ELSEVIER SCIENCE LTD, 2008)For enhancing heat transfer between primary surface and the environment, utilization of radiating extended surfaces are common. Especially for large temperature differences; variable thermal conductivity has a strong effect ... -
Homotopy perturbation method for free vibration analysis of beams on elastic foundation
Ozturk, Baki; Coskun, Safa Bozkurt; Koc, Mehmet Zahid; Atay, Mehmet Tarik (IOP PUBLISHING LTD, 2010)In this study, the homotopy perturbation method (HPM) is applied for free vibration analysis of beam on elastic foundation. This numerical method is applied on a previously available case study. Analytical solutions and ... -
Magnus Expansion Method for Solving Singularly Perturbed Turning Point Problems Having Boundary Layers
Kome, Sure; Atay, Mehmet Tarik; Eryilmaz, Aytekin; Kome, Cahit (AMER INST PHYSICS, 2015)In this paper, Magnus expansion method which is based on Lie groups and Lie algebras is presented to solve singularly perturbed boundary value problems having boundary layers. Numerical results are obtained by using different ... -
A novel hybrid method for better evaluation: Evaluating university instructors teaching performance by combining conventional content analysis with fuzzy rule based systems
Basaran, Murat Alper; Kalayci, Nurdan; Atay, Mehmet Tarik (PERGAMON-ELSEVIER SCIENCE LTD, 2011)Even though engineering and applied sciences deal with numerical data, they have successfully implemented fuzzy logic by using fuzzy rule based (FRB) systems by verbalizing data. On the other hand, social sciences such as ... -
Numerical and Soft Computing Methods for Characteristic Value Problems of ODE and ODEs Systems
Atay, Mehmet Tarik; Simonetti, Biagio; Coskun, Safa Bozkurt; Venkatesan, D.; Basaran, Murat Alper; Squillante, Massimo (HINDAWI PUBLISHING CORPORATION, 2013)… -
Numerical Solutions of Linear and Nonlinear Lane-Emden Type Equations Magnus Expansion Method
Kome, Cahit; Atay, Mehmet Tarik; Eryilmaz, Aytekin; Kome, Sure (AMER INST PHYSICS, 2015)In this paper, we study on the numerical solutions of linear and nonlinear singular initial value problems of Lane-Emden type with different orders of Magnus expansion method (MEM). The proposed method is different from ... -
The Semianalytical Solutions for Stiff Systems of Ordinary Differential Equations by Using Variational Iteration Method and Modified Variational Iteration Method with Comparison to Exact Solutions
Atay, Mehmet Tarik; Kilic, Okan (HINDAWI LTD, 2013)The Variational Iteration Method (VIM) and Modified Variational Iteration Method (MVIM) are used to find solutions of systems of stiff ordinary differential equations for both linear and nonlinear problems. Some examples ...