Browsing Mathematics / Matematik by Author "TR103234"

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 ...