Browsing by Author "Yamac, Kerem"

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A Numerical Scheme for Semilinear Singularly Perturbed Reaction-Diffusion Problems
(Walter de Gruyter Gmbh, 2020) Yamac, Kerem; Erdogan, Fevzi
In this study we investigated the singularly perturbed boundary value problems for semilinear reaction-difussion equations. We have introduced a basic and computational approach scheme based on Numerov's type on uniform mesh. We indicated that the method is uniformly convergence, according to the discrete maximum norm, independently of the parameter of epsilon. The proposed method was supported by numerical example.
On Ev-Degree and Ve-Degree Based Topological Properties of the Sierpinski Gasket Fractal
(Yildiz Technical Univ, 2019) Yamac, Kerem; Cancan, Murat
In chemistry, pharmacology, medicine and physics molecular graphs have been used to model molecular substances, networks and fractals. Topological indices have been derived from the molecular graphs of chemical compounds, networks and fractals. Topological indices are important tools to analyze the underlying topology of fractals. Many topological indices have been used to understand and to investigate mathematical properties of fractal models. The Sierpinski gasket fractal is important for the study of fractals. Some physical properties of these type fractals were investigated by some researchers. Also certain topological indices of the Sierpinski gasket fractal have been calculated recently. Ve-degree and Ev-degree concepts have been defined recently in graph theory. Ev-degree and Ve-degree topological indices have been defined by using their corresponding classical degree based topological indices. In this study we calculate ev-degree and ve-degree topological indices for the Sierpinski gasket fractal.
On Some Ve-Degree and Harmonic Molecular Topological Properties of Carborundum
(Koya Univ, 2020) Cancan, Murat; Yamac, Kerem; Tas, Ziyattin; Aldemir, Mehmet Serif
Carborundum, also known as silicon carbide which containing carbon and silicon, is a semiconductor. Molecular topological properties of physical substances are important tools to investigate the underlying topology of these substances. Ev-degree and ve-degree based on the molecular topological indices have been defined as parallel to their corresponding classical degree based topological indices in chemical graph theory. Classical degree based topological properties of carborundum have been investigated recently. As a continuation of these studies, in this study, we compute novel ve-degree harmonic, ve-degree sum-connectivity, ve-degree geometric-arithmetic, and ve-degree atom-bond connectivity, the first and the fifth harmonic molecular topological indices of two carborundum structures.