Browsing 1. Fen Fakültesi / Faculty of Science by Department "Izmir Institute of Technology. Mathematics"
Now showing items 2140 of 108

Construction of exact solutions for fractionaltype differencedifferential equations via symbolic computation
(Elsevier, 201311)This paper deals with fractionaltype differencedifferential equations by means of the extended simplest equation method. First, an equation related to the discrete KdV equation is considered. Second, a system related to ... 
Convergence analysis and numerical solution of the BenjaminBonaMahony equation by LieTrotter splitting
(TUBITAK, 2018)In this paper, an operator splitting method is used to analyze nonlinear BenjaminBonaMahonytype equations. We split the equation into an unbounded linear part and a bounded nonlinear part and then LieTrotter splitting ... 
Degenerate fourvirtualsoliton resonance for the KPII
(Springer, 200507)We propose a method for solving the (2+1)dimensional Kadomtsev Petviashvili equation with negative dispersion (KPII) using the second and third members of the disipative version of the AKNS hierarchy. We show that ... 
Discrete exact solutions to some nonlinear differentialdifference equations via the (G′/G)expansion method
(Elsevier, 200912)We extended the (G′/G)expansion method to two wellknown nonlinear differentialdifference equations, the discrete nonlinear Schrödinger equation and the Toda lattice equation, for constructing traveling wave solutions. ... 
Dissipative hierarchies and resonance solitons for KPII and MKPII
(Elsevier, 200703)We show that dissipative solitons (dissipatons) of the second and the third members of SL(2,R) AKNS hierarchy give rise to the real solitons of KPII, while for SL(2,R) KaupNewell hierarchy they give solitons of MKPII. ... 
Ecalculus at IZTECH
(Springer, 2006)In today's new economy, characterized by industrial revolutions, globalization and information technology changes traditional classroom and teaching methods. Calculus is the basic course for the fresher at university. ... 
Enabling cooperation, resource allocation and receiver selection across cells: Complementary fractional frequency reuse
(IEEE, 2013)For a multicell multiple access channel, we develop a comprehensive cooperative communication framework: we propose a novel complementary fractional frequency reuse (FFR) strategy tailored specifically for pairwise user ... 
Energy calibration and resolution of the CMS electromagnetic calorimeter in pp collisions at √s = 7 TeV
(IOP Publishing, 201309)The energy calibration and resolution of the electromagnetic calorimeter (ECAL) of the CMS detector have been determined using protonproton collision data from LHC operation in 2010 and 2011 at a centreofmass energy of ... 
Erratum 2: Search for dark matter and unparticles in events with a Z boson and missing transverse momentum in protonproton collisions at √s=13 TeV
(Springer, 201801)In the original paper, figure 10 was incorrect. The correct figure is shown below. Additionally, the unparticle entries in table 3, as well as figure 4 and 5 were labelled with incorrect values of ΛU. The entries correctly ... 
Erratum: search for new physics in events with samesign dileptons and b jets in pp collisions at √s=8 TeV
(Springer, 2013)A search for new physics is performed using events with isolated samesign leptons and at least two bottomquark jets in the final state. Results are based on a sample of protonproton collisions collected at a centerofmass ... 
Exact and explicit solutions to some nonlinear evolution equations by utilizing the (G′/G)expansion method
(Elsevier, 200909)In this paper, we demonstrate the effectiveness of the socalled (G′/G)expansion method by examining some nonlinear evolution equations with physical interest. Our work is motivated by the fact that the (G′/G)expansion ... 
Exact and explicit solutions to the (3 + 1)dimensional JimboMiwa equation via the Expfunction method
(Elsevier, 20081124)In this Letter, the Expfunction method, with the aid of a symbolic computation system such as Mathematica, is applied to the (3 + 1)dimensional JimboMiwa equation to show its effectiveness and reliability. Exact and ... 
Exact solutions of forced Burgers equations with time variable coefficients
(Elsevier, 201307)In this paper, we consider a forced Burgers equation with time variable coefficients of the form Ut+(μ̇(t)/μ(t))U+UUx=(1/2μ(t))Uxxω2(t)x, and obtain an explicit solution of the general initial value problem in terms of a ... 
Exactly solvable quantum SturmLiouville problems
(American Institute of Physics Publising, 2009)The harmonic oscillator with timedependent parameters covers a broad spectrum of physical problems from quantum transport, quantum optics, and quantum information to cosmology. Several methods have been developed to ... 
The extended discrete (G′/G)expansion method and its application to the relativistic toda lattice system
(American Institute of Physics Publising, 2009)We propose the extended discrete (G′/G)expansion method for directly solving nonlinear differentialdifference equations. For illustration, we choose the relativistic Toda lattice system. We derive further discrete hyperbolic ... 
Extensions of weakly supplemented modules
(Mathematica Scandinavica, 2008)It is shown that weakly supplemented modules need not be closed under extension (i.e. if U and M/U are weakly supplemented then M need not be weakly supplemented). We prove that, if U has a weak supplement in M then M is ... 
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 ... 
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 ... 
Inequalities for buckling of a clamped plate
(TARU Publications, 2002)We study the eigenvalue problems for the buckling of a clamped plate. The previous upper bound on low eigenvalues due to Payne, Pólya, and Weinberger, and Rile and Yeh are reviewed. Using methods similar to those used in ...