Browsing by Publisher "POLISH ACAD SCIENCES INST PHYSICS"

Now showing 1 - 8 of 8
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    A New Computational Method Based on Laguerre Polynomials for Solving Certain Nonlinear Partial Integro Differential Equations
    (POLISH ACAD SCIENCES INST PHYSICS) Gürbüz, B; Sezer, M
    In this study, we consider some nonlinear partial integro-differential equations. Most of these equations are used as mathematical models in many problems of physics, biology, chemistry, engineering, and in other areas. Our main purpose is to propose a new numerical method based on the Laguerre and Taylor polynomials, called matrix collocation method, for the numerical solution of the mentioned nonlinear equations under the initial or boundary conditions. To show the effectiveness of this approach, some examples along with error estimations are illustrated by tables and figures.
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    Effect of Different Materials to Concrete as Neutron Shielding Application
    (POLISH ACAD SCIENCES INST PHYSICS) Sariyer, D; Küçer, R
    Neutron shielding is used to protect personnel and equipment from the effect of neutron radiation. The effective neutron shielding should reduce the neutron energy by elastic and inelastic scattering until they can be absorbed. The interaction of neutron with the matter depends on neutron energy and the density of the shielding material. The best known construction and shielding material is concrete. The composition of concrete has an important effect on its neutron shielding properties. Neutron shielding performance of concrete can be improved by adding different materials such as ferro-boron and iron. In this study, neutron shielding properties of concrete were investigated by adding boron carbide B4C, ferro-boron FeB, and iron Fe in concrete. Neutron dose rate attenuation curves were determined by using FLUKA Monte Carlo code complemented with analytical predictions. The simulation results clearly showed that shielding performance of concrete was enhanced depending on the amounts of additional material and density.
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    A Mathematical Model for Transporting the Arriving Passengers from the Airport to the City Centre
    (POLISH ACAD SCIENCES INST PHYSICS) Akincilar, A
    In case of considerable traffic congestion in an airport, transportation of passengers to city centre may become a challenging task, since airports are generally located far from the centre. In this study, transportation of passengers, who arrive at an airport, to the city centre has been handled. A mathematical model has been developed, which minimises total costs arising from both, the time passed, while passengers are waiting for a vehicle, and the dispatching of a significant amount of vehicles for transporting the passengers. By utilising the proposed model, in addition to matter of when to dispatch, it is also possible to specify which type of vehicles, and how many of them should be dispatched at each time interval. Ultimately, it is reported that such a plan has a great potential to enhance the productivity.
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    Neutron Shielding Properties of Concrete and Ferro-Boron
    (POLISH ACAD SCIENCES INST PHYSICS) Sariyer, D; Küçer, R; Küçer, N
    The problem of shielding against high-energy neutrons has always attracted a great deal of attention. Neutron shielding requires slowing down energetic neutrons and absorbing with a shield material. Concrete is one of the best known materials for neutron shielding and ferro-boron is described as an alternative shielding material in this study. FLUKA Monte Carlo simulation code was used for the application of shielding calculation. When the simulation results are compared, it is clear that ferro-boron is more effective in neutron shielding than the concrete.
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    Measurements of Environmental Pollution in Industrial Area Using Magnetic Susceptibility Method
    (POLISH ACAD SCIENCES INST PHYSICS) Kucer, N; Sabikoglu, I; Can, N
    Gaziemir district of Izmir, the Aegean Free Zone, is an industry center of approximately 295 companies that operate in lots of fields such as production, maintenance-repair, trade and that provide 1/3 of total employment in 21 free zones in Turkey. In this study, magnetic susceptibility values of soil samples taking from environment of various factories in Aegean Free Zone have been determined. Magnetic susceptibilities of samples in low and high frequency have been measured by Bartington MS2B magnetic susceptibility measurement device. All of the samples have showed ferromagnetic characteristics and also their pseudosingle-domain structures and super paramagnetic granule additives have been determined by evaluating their graphics connected to frequency.
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    Laguerre Polynomial Solutions of a Class of Delay Partial Functional Differential Equations
    (POLISH ACAD SCIENCES INST PHYSICS) Gürbüz, B; Sezer, M
    In this study, we develop a novel matrix collocation method based on the Laguerre polynomials to find the approximate solutions of some parabolic delay differential equations with integral terms subject to appropriate initial and boundary conditions. The method reduces the solution of the mentioned equations to the solution of a matrix equation which corresponds to system of algebraic equations with unknown Laguerre coefficients. Besides, the error analysis together with numerical results are performed to illustrate the efficiency of our method computationally.
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    Laguerre Polynomial Solutions of a Class of Initial and Boundary Value Problems Arising in Science and Engineering Fields
    (POLISH ACAD SCIENCES INST PHYSICS) Gürbüz, B; Sezer, M
    In this study, we consider high-order nonlinear ordinary differential equations with the initial and boundary conditions. These kinds of differential equations are essential tools for modelling problems in physics, biology, neurology, engineering, ecology, economy, astrophysics, physiology and so forth. Each of the mentioned problems are described by one of the following equations with the specific physical conditions: Riccati, Duffing, Emden-Fowler, Lane Emden type equations. We seek the approximate solution of these special differential equations by means of a operational matrix technique, called the Laguerre collocation method. The proposed method is based on the Laguerre series expansion and the collocation points. By using the method, the mentioned special differential equations together with conditions are transformed into a matrix form which corresponds to a system of nonlinear algebraic equations with unknown Laguerre coefficients, and thereby the problem is approximately solved in terms of Laguerre polynomials. In addition, some numerical examples are presented to demonstrate the efficiency of the proposed method and the obtained results are compared with the existing results in literature.
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    Investigation of Neutron Attenuation through FeB, Fe2B and Concrete
    (POLISH ACAD SCIENCES INST PHYSICS) Sariyer, D
    Neutrons produced in high-energy nuclear facilities are very penetrative and travel deeply through many materials. Neutron shielding slows down the high-energy neutrons to thermal energies and absorbing them with suitable materials is an important problem. Neutron attenuation in the shielding is accomplished through elastic and inelastic scattering reactions. For shielding to be efficient, minimum thickness needs to be achieved. To shield from these neutrons, concrete and iron are important materials. In this study, the neutron attenuation effects through shielding materials (concrete, FeB, and Fe2B) were investigated for various thicknesses of the materials. The high-energy neutrons were generated from the interaction protons with energies of 50-1000 MeV and copper target. Neutron dose rate attenuation curves were determined by using FLUKA Monte Carlo code. The results show that the extent of attenuation related to neutron energy depends on the density and thickness of the shielding material.