Browsing Phd Degree / Doktora by Department "Izmir Institute of Technology. Mathematics"
Now showing items 116 of 16

Cocoatomically supplemented modules
(Izmir Institute of Technology, 2013)The purpose of this study to define cocoatomically supplemented modules, cocoatomically supplemented modules, cocoatomically weak supplemented modules and cocoatomically amply supplemented modules and examine them over ... 
Convergence analysis of operator splitting methods for the BurgersHuxley equation
(Izmir Institute of Technology, 201507)The purpose of this thesis is to investigate the implementation of the two operator splitting methods; LieTrotter splitting and Strang splitting method applied to the Burgers Huxley equation and prove their convergence ... 
Enriched finite elements method for convevtiondiffusionreaction problems
(Izmir Institute of Technology, 2012)In this thesis, we consider stabilization techniques for linear convectiondiffusionreaction (CDR) problems. The survey begins with two stabilization techniques: streamline upwind PetrovGalerkin method (SUPG) and Residualfree ... 
Entanglemend and topological soliton structures in Heisenberg spin models
(Izmir Institute of Technology, 2010)Quantum entanglement and topological soliton characteristics of spin models are studied. By identifying spin states with qubits as a unit of quantum information, quantum information characteristic as entanglement is ... 
Homological objects of proper classes generated by simple modules
(Izmir Institute of Technology, 2014)The main purpose of this thesis is to study some classes of modules determined by neat, coneat and spure submodules. A right Rmodule M is called neatflat (resp. coneatflat) if the kernel of any epimorphism Y → M → 0 ... 
Mathematical modelling of light propagation in pohotonic crystal waveguides
(Izmir Institute of Technology, 2014)Photonic crystals are artificially engineered materials where the dielectric constant varies periodically. A photonic band gap can be created by scattering at the dielectric interfaces, which forbids propagation of light ... 
Modules satisfying conditions that are opposites of absolute purity and flatness
(Izmir Institute of Technology, 201707)The main purpose of this thesis is to study the properties which are opposites of absolute pure and flat modules. A right module M is said to be test for flatness by subpurity (for short, t.f.b.s.) if its subpurity domain ... 
New approaches for solving nonlinear oscillation problems
(Izmir Institute of Technology, 201506)This thesis proposes two different numerical methods for solving nonlinear oscillation problems which appear in engineering and physics. Thus, the study is conducted in two parts. The first part introduces and analyzes ... 
Numerical methods for nonlocal problems
(Izmir Institute of Technology, 201807)In this thesis, numerical methods for nonlocal problems with local boundary conditions from the area of peridynamics are studied. The novel operators that satisfy local boundary conditions were proposed as an alternative ... 
Operations on proper classes related to supplements
(Izmir Institute of Technology, 2012)The purpose of this study is to understand the properties of the operations +, ◦, and * defined on classes of short exact sequences and apply them to the proper classes related to supplements. The operation ◦ on classes ... 
Operator splitting method for parabolic partial differential equations: Analyses and applications
(Izmir Institute of Technology, 2013)This thesis presents the consistency, stability and convergence analysis of an operator splitting method, namely the iterative operator splitting method, using various approaches for parabolic partial differential equations. ... 
Quantum calculus of classical HeatBurgers' hierarchy and quantum coherent states
(Izmir Institute of Technology, 201707)The purpose of this thesis is an application of quantum calculus to classical Heat Burgers’ hierarchy and quantum coherent states. First we construct random walk on qlattice, corresponding qheat equation and exact ... 
Short time behaviour of dam break flow involving two liquids
(Izmir Institute of Technology, 201806)The two dimensional dam break problem for wet bed case is investigated. The leading order and the second order problem are stated in nondimensional form. Solution to the leading order problem by using three different ... 
Solution of Maxwell Equations on deformed spherical domains: Applications to the scattering problems
(Izmir Institute of Technology, 201507)In the present work, firstly we consider analytic solution of the Maxwell’s Equations in the vacuum in the presence of conducting deformed spherical body. Deformation is made in the normal direction of sphere with a small ... 
Stabilized finite element methods for time dependent convectiondiffusion equations
(Izmir Institute of Technology, 2012)In this thesis, enriched finite element methods are presented for both steady and unsteady convection diffusion equations. For the unsteady case, we follow the method of lines approach that consists of first discretizing ... 
Vortex dynamics in domains whith boundaries
(Izmir Institute of Technology, 2011)In this thesis we consider the following problems: 1) The problem of fluid advection excited by point vortices in the presence of stationary cylinders (we also add a uniform flow to the systems). 2) The problem of motion ...