Browsing by Author "Dereli, Yılmaz"
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Bazı kısmi türevli diferansiyel denklemlerin hareketli en küçük kareler collocatıon metodu ile sayısal çözümleri
Kaplan, Ayşe Gül (Anadolu Üniversitesi, 2015)Bilim ve mühendisliğin pek çok alanında ortaya çıkan problemleri modellemek için genellikle lineer olmayan kısmi türevli diferansiyel denklemler kullanılır. Bu denklemler öncelikle analitik olarak çözülmeye çalışılır. Fakat ... -
Comparison between two meshless methods for the Rosenau-Kawahara equation
Arı, Murat; Karaman, Bahar; Dereli, Yılmaz (Centre Environment Social & Economic Research Publ-Ceser, 2018)In this work, we present a comparative study of meshless radial basis functions collocation method and meshless kernel based method of lines for the numerical solution of the general form of Rosenau-Kawahara equation. ... -
Comparison of rotordynamic coefficients for labyrinth seals using a two-control volume method
Dereli, Yılmaz (SAGE Publications LTD, 2008)In the current paper, the gas flow in straight through labyrinth seals is investigated using a two-control volume model. The continuity and the circumferential momentum equations are reobtained using the above model and ... -
Comparisons of rotordynamic coefficients in stepped labyrinth seals by using Colebrook-White friction factor model
Eser, Dursun; Dereli, Yılmaz (Springer, 2007)The objective of this work is to observe the effects of friction factors for the stepped labyrinth seals. The gas flow through the seals creates net pressure and shear forces acting on the rotor. It is necessary to predict ... -
Effects of shear stress forces to rotordynamic coefficients in staggered labyrinth seals
Dereli, Yılmaz; Eser, D. (Professional Engineering Publishing LTD, 2006)In this article, shear stresses in calculating the rotordynamic coefficients of staggered labyrinth seals are presented. Differences in the values of these coefficients are observed and quantified. The results of the present ... -
Genel rosenau rlw denkleminin ağsız çekirdek tabanlı çizgiler metodu ile sayısal çözümü
Arı, Murat (Anadolu Üniversitesi, 2016)Bilim ve mühendisliğin farklı alanlarında ortaya çıkan kısmi diferansiyel denklemlerin çoğu lineer olmayan denklemlerdir. Bu denklemleri çözmek için çeşitli nümerik metotlar kullanılır. Sonlu farklar metodu, sonlu elemanlar ... -
The meshless kernel-based method of lines for solving the equal width equation
Dereli, Yılmaz; Schaback, Robert (Elsevier Science Inc, 2013)The Equal Width equation governs nonlinear wave phenomena like waves in shallow water. Here, it is solved numerically by the Method of Lines using a somewhat unusual setup. There is no linearization of the nonlinear terms, ... -
The meshless kernel-based method of lines for the numerical solution of the nonlinear Schrodinger equation
Dereli, Yılmaz (Elsevier Sci LTD, 2012)In this paper, the nonlinear Schrodinger equation is solved numerically by using the meshless kernel-based method of lines. Multiquadric, Gaussian and Wend land's compactly supported radial basis functions are used as the ... -
A meshless method and stability analysis for the nonlinear Schrodinger equation
Kaplan, Ayşe Gül; Dereli, Yılmaz (Taylor & Francis LTD, 2017)In this paper, the non-linear Schrodinger (NLS) equation was solved by a meshless method based on the moving least-squares approximation. Single-soliton solution and interaction of two colliding solitons were studied to ... -
Numerical solution of RLW equation using radial basis functions
Dağ, Idris; Dereli, Yılmaz (Taylor & Francis LTD, 2010)The numerical solution of the regularized long wave equation is investigated by means of the meshless method based on collocation with the well-known radial basis functions (RBFs). Single solitary wave motion, two solitary ... -
Numerical solution of the Rosenau-KdV-RLW equation by using RBFs collocation method
Korkmaz, Bahar; Dereli, Yılmaz (World Scientific Publ Co Pte LTD, 2016)In this study, a meshfree method based on the collocation with radial basis functions (RBFs) is proposed to solve numerically an initial-boundary value problem of Rosenau-KdV-regularized long-wave (RLW) equation. Numerical ... -
Numerical solutions of KdV equation using radial basis functions
Dağ, Idris; Dereli, Yılmaz (Elsevier Science Inc, 2008)Numerical solution of the Korteweg-de Vries equation is obtained by using the meshless method based on the collocation with radial basis functions. Five standard radial basis functions are used in the method of the ... -
Numerical Solutions of the General Rosenau-RLW Equation Using Meshless Kernel Based Method of Lines
Arı, Murat; Dereli, Yılmaz (IOP Publishing LTD, 2016)In this paper, the General Rosenau-RLW equation is solved by using meshless kernel based method of lines. To test the accuracy of the method some numerical experiments are presented. Obtained numerical results are compared ... -
Numerical solutions of the GEW equation using MLS collocation method
Kaplan, Ayşe Gül; Dereli, Yılmaz (World Scientific Publ Co Pte LTD, 2017)In this paper, the generalized equal width wave (GEW) equation is solved by using moving least squares collocation (MLSC) method. To test the accuracy of the method some numerical experiments are presented. The motion of ... -
Numerical solutions of the Kawahara type equations using radial basis functions
Dereli, Yılmaz; Dağ, İdris (Wiley-Blackwell, 2012)This study is carried out to investigate the numerical solutions of the Kawahara, KdV-Kawahara, and the modified Kawahara equations by using the meshless method based on collocation with radial basis functions. Results of ... -
Numerical Solutions of the Mrlw Equation Using Moving Least Square Collocation Method
Kaplan, Ayşe Gül; Dereli, Yılmaz (Ankara University, Fac Sci, 2017)In this paper, the Modified Regularized Long Wave (MRLW) equation is solved by using moving least square collocation (MLSC) method. To show the accuracy of the used method several numerical test examples are given. The ... -
Numerical Solutions of the Symmetric Regularized Long Wave Equation Using Radial Basis Functions
Kaplan, Ayşe Gül; Dereli, Yılmaz (Tech Science Press, 2012)In this study, the nonlinear symmetric regularized long wave equation was solved numerically by using radial basis functions collocation method. The single solitary wave solution, the interaction of two positive solitary ... -
Radial basis functions method for numerical solution of the modified equal width equation
Dereli, Yılmaz (Taylor & Francis LTD, 2010)The numerical solution of the modified equal width equation is investigated by using meshless method based on collocation with the well-known radial basis functions. Single solitary wave motion, two solitary waves interaction ... -
Solitary Wave Solutions of the MRLW Equation Using Radial Basis Functions
Dereli, Yılmaz (Wiley-Blackwell, 2012)In this study, traveling wave solutions of the modified regularized long wave (MRLW) equation are simulated by using the meshless method based on collocation with well-known radial basis functions. The method is tested for ... -
Soliton solutions for NLS equation using radial basis functions
Dereli, Yılmaz; Irk, Dursun; Dağ, Idris (Pergamon-Elsevier Science LTD, 2009)We present a numerical study of the cubic nonlinear Schrodinger equation by using the meshless method based on collocation with radial basis functions. The method is examined for the single soliton solution and interaction ...
