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Browsing Mathematics / Matematik by Author "TR103234"
Now showing items 1-12 of 12
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A1-L10 phase boundaries and anisotropy via multiple-order-parameter theory for an fcc alloy
Tanoğlu, Gamze; Braun, Richard J.; Cahn, John W.; McFadden, Geoffrey B. (European Mathematical Society Publishing House, 2003)The dependence of thermodynamic properties of planar interphase boundaries (IPBs) and antiphase boundaries (APBs) in a binary alloy on an fcc lattice is studied as a function of their orientation. Using a recently developed ... -
Analysis of a corner layer problem in anisotropic interfaces
Alikakos, N. D.; Bates, P. W.; Cahn, J. W.; Fife, P. C.; Fusco, G.; Tanoğlu, Gamze (Southwest Missouri State University, 2006-03)We investigate a model of anisotropic diffuse interfaces in ordered FCC crystals introduced recently by Braun et al and Tanoglu et al [3, 18, 19], focusing on parametric conditions which give extreme anisotropy. For a ... -
CMMSE-convergence analysis for operator splitting methods with application to Burgers-Huxley equation
Çiçek, Yeşim; Tanoğlu, Gamze (Natural Sciences Publishing Corporation, 2015)We provide an error analysis of the operator splitting method of the Lie-Trotter type applied to the Burgers-Huxley equation ut + αuux - εuxx = β(1 - u)(u - γ)u. We show that the Lie-Trotter splitting method converges with ... -
Convergence analysis and numerical solution of the Benjamin-Bona-Mahony equation by Lie-Trotter splitting
Zürnacı, Fatma; Gücüyenen Kaymak, Nurcan; Seydaoğlu, Muaz; Tanoğlu, Gamze (TUBITAK, 2018)In this paper, an operator splitting method is used to analyze nonlinear Benjamin-Bona-Mahony-type equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then Lie-Trotter splitting ... -
The convergence of a new symmetric iterative splitting method for non-autonomous systems
Tanoğlu, Gamze; Korkut, Sıla (Taylor & Francis, 2012-09)The iterative splitting methods have been extensively applied to solve complicated systems of differential equations. In this process, we split the complex problem into several sub-problems, each of which can be solved ... -
An efficient iterative algorithm for solving non-linear oscillation problems
Korkut Uysal, Sıla Övgü; Tanoğlu, Gamze (Faculty of Sciences and Mathematics, University of Nis, 2017)A new iterative method is presented for numerical solution of nonlinear evolutionary problems. The convergence properties of the proposed method are analysed in abstract framework by using the concepts of consistency, ... -
Higher order operator splitting methods via Zassenhaus product formula: Theory and applications
Geiser, Jürgen; Tanoğlu, Gamze; Gücüyenen, Nuran (Elsevier, 2011-08)In this paper, we contribute higher order operator splitting methods improved by Zassenhaus product. We apply the contribution to classical and iterative splitting methods. The underlying analysis to obtain higher order ... -
Iterative operator splitting method for capillary formation model in tumor angiogenesis problem: Analysis and application
Gücüyenen, Nurcan; Tanoğlu, Gamze (Wiley-Blackwell, 2011-11)Iterative operator splitting method is used to solve numerically the mathematical model for capillary formation in tumor angiogenesis problem. The method is based on first splitting the complex problem into simpler ... -
On the numerical solution of Korteweg-de Vries equation by the iterative splitting method
Gücüyenen, Nurcan; Tanoğlu, Gamze (Elsevier, 2011-10)In this paper, we apply the method of iterative operator splitting on the Korteweg-de Vries (KdV) equation. The method is based on first, splitting the complex problem into simpler sub-problems. Then each sub-equation is ... -
Solitary wave solution of nonlinear multi-dimensional wave equation by bilinear transformation method
Tanoğlu, Gamze (Elsevier, 2007-10)The Hirota method is applied to construct exact analytical solitary wave solutions of the system of multi-dimensional nonlinear wave equation for n-component vector with modified background. The nonlinear part is the ... -
Strang splitting method for Burgers-Huxley equation
Çiçek, Yeşim; Tanoğlu, Gamze (Elsevier, 2016-03-05)We derive an analytical approach to the Strang splitting method for the Burgers-Huxley equation (BHE) ut+αuux-ε uXX=β(1-u)(u-γ)u. We proved that Srtang splitting method has a second order convergence in Hs(R), where Hs(R) ... -
Vector shock soliton and the Hirota bilinear method
Pashaev, Oktay; Tanoğlu, Gamze (Elsevier, 2005-10)The Hirota bilinear method is applied to find an exact shock soliton solution of the system reaction-diffusion equations for n-component vector order parameter, with the reaction part in form of the third order polynomial, ...