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- Gamze Tanoglu, Sila Korkut
- Int. J. Comput. Math.
- 2012

- Y. Çiçek, Gamze Tanoglu
- 2014

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 the expected rate in Hs(R), where Hs(R) is the Sobolev space and s is an arbitrary nonnegative integer. We split the equation into linear… (More)

- Jürgen Geiser, Gamze Tanoglu, Nurcan Gücüyenen
- Computers & Mathematics with Applications
- 2011

In this paper, we contribute higher order operator-splitting method improved by Zassenhaus product. We apply the contribution to classical and iterative splitting methods. The underlying analysis to obtain higher order operator-splitting methods is presented. While applying the methods to partial differential equations, the benefits of balancing time and… (More)

We investigate a model of anisotropic diffuse interfaces in ordered FCC crystals introduced recently by Braun et al and Tanoglu et al [BCMcFW, T, TBCMcF], focusing on parametric conditions which give extreme anisotropy. For a reduced model, we prove existence and stability of plane wave solutions connecting the disordered FCC state with the ordered Cu3Au… (More)

- Nurcan Gücüyenen, Gamze Tanoglu
- Applied Mathematics and Computation
- 2011

- Jürgen Geiser, Gamze Tanoglu
- Applied Mathematics and Computation
- 2011

- Arzu KIRAN GÜÇOĞLU, Gamze Tanoglu, Mehmet KIRAN
- 2005

In this thesis, the nonstandard finite difference method is applied to construct the new finite difference equations for the first order nonlinear dynamic equation, second order singularly perturbed convection diffusion equation and nonlinear reaction diffusion partial differential equation. The new discrete representation for the first order nonlinear… (More)

- Y. Çiçek, Gamze Tanoglu
- Applied Mathematics and Computation
- 2016

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