Browsing Mathematics / Matematik by Title
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Filamentary structures of the cosmic web and the nonlinear Schrödinger type equation
(IOP Publishing, 2011)We show that the filamentary type structures of the cosmic web can be modeled as solitonic waves by solving the reaction diffusion system which is the hydrodynamical analogous of the nonlinear Schrödinger type equation. ... 
Finite difference approximations of multidimensional convectiondiffusionreaction problems with small diffusion on a special grid
(Elsevier, 201511)A numerical scheme for the convectiondiffusionreaction (CDR) problems is studied herein. We propose a finite difference method on a special grid for solving CDR problems particularly designed to treat the most interesting ... 
Finite difference approximations of multidimensional unsteady convectiondiffusionreaction equations
(Elsevier, 20150305)In this paper, the numerical approximation of unsteady convectiondiffusionreaction equations with finite difference method on a special grid is studied in the convection or reactiondominated regime. We extend the method ... 
A finite difference scheme for multidimensional convectiondiffusionreaction equations
(Elsevier, 201408)In this paper a finite difference scheme is proposed for multidimensional convectiondiffusionreaction equations, particularly designed to treat the most interesting case of small diffusion. It is based closely on the ... 
The finite element method for MHD flow at high Hartmann numbers
(Elsevier, 200503)A stabilized finite element method using the residualfree bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the ... 
Finite element method solution of electrically driven magnetohydrodynamic flow
(Elsevier, 200608)The magnetohydrodynamic (MHD) flow in a rectangular duct is investigated for the case when the flow is driven by the current produced by electrodes, placed one in each of the walls of the duct where the applied magnetic ... 
Finiteparameter feedback control for stabilizing the complex Ginzburg–Landau equation
(Elsevier, 201708)In this paper, we prove the exponential stabilization of solutions for complex Ginzburg–Landau equations using finiteparameter feedback control algorithms, which employ finitely many volume elements, Fourier modes or nodal ... 
The first integral method for constructing exact and explicit solutions to nonlinear evolution equations
(Wiley, 201204)Problems that are modeled by nonlinear evolution equations occur in many areas of applied sciences. In the present study, we deal with the negative order KdV equation and the generalized Zakharov system and derive some ... 
Forward–backward asymmetry of Drell–Yan lepton pairs in pp collisions at √s = 8 TeV
(Springer, 201606)A measurement of the forward–backward asymmetry AFB of oppositely charged lepton pairs (μμ and ee) produced via Z / γ∗ boson exchange in pp collisions at √s = 8 TeV is presented. The data sample corresponds to an integrated ... 
From qanalytic functions to double qanalytic Hermite binomials and qtraveling waves
(IOP Publishing, 201610)We extend the concept of qanalytic function in two different directions. First we find expansion of qbinomial in terms of qHermite polynomials, analytic in two complex arguments. Based on this representation, we introduce ... 
A fully discrete εuniform method for convectiondiffusion problem on equidistant meshes
(Hikari, 2012)For a singularlyperturbed twopoint boundary value problem, we propose an εuniform finite difference method on an equidistant mesh which requires no exact solution of a differential equation. We start with a fullfitted ... 
A fully discrete εuniform method for singular perturbation problems on equidistant meshes
(Taylor & Francis, 201201)We propose a fully discrete εuniform finitedifference method on an equidistant mesh for a singularly perturbed twopoint boundaryvalue problem (BVP). We start with a fitted operator method reflecting the singular ... 
Generalized solitary and periodic wave solutions to a (2 + 1)dimensional ZakharovKuznetsov equation
(Elsevier, 201010)In this paper, the Expfunction method is employed to the ZakharovKuznetsov equation as a (2 + 1)dimensional model for nonlinear Rossby waves. The observation of solitary wave solutions and periodic wave solutions ... 
Golden quantum oscillator and BinetFibonacci calculus
(IOP Publishing, 201201)The Binet formula for Fibonacci numbers is treated as a qnumber and a qoperator with Golden ratio bases q = and Q = 1/, and the corresponding Fibonacci or Golden calculus is developed. A quantum harmonic oscillator for ... 
Graph coloring with webMathematica
(Springer, 2004)Coloring of a graph is an assignment of colors either to the edges of the graph G, or to vertices, or to maps in such a way that adjacent edges/vertices/maps are colored differently. We consider the problem of coloring ... 
Hamiltonian dynamics of N vortices in concentric annular region
(IOP Publishing, 201105)The problem of N vortex dynamics in annular domain is considered. The region is canonical one and allows by conformal mapping apply results to an arbitrary position of two cylinders in the plane. Using previous solution, ... 
Hereditary rings with countably generated cotorsion envelope
(Elsevier, 201402)Let R be a left hereditary ring. We show that if the left cotorsion envelope C(RR) of R is countably generated, then R is a semilocal ring. In particular, we deduce that C(RR) is finitely generated if and only if R is a ... 
Higher order operator splitting methods via Zassenhaus product formula: Theory and applications
(Elsevier, 201108)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 ... 
The Hirota Method for reactiondiffusion equations with three distinct roots
(AIP Publishing, 2004)The Hirota Method, with modified background is applied to construct exact analytical solutions of nonlinear reactiondiffusion equations of two types. The first equation has only nonlinear reaction part, while the second ... 
Hirota method for solving reactiondiffusion equations with generalized nonlinearity
(World Academic Press, 2006)The Hirota Method is applied to find an exact solitary wave solution to evolution equation with generalized nonlinearity. By introducing the power form of Hirota ansatz the bilinear representation for this equation is ...