Projeler

Permanent URI for this collectionhttps://hdl.handle.net/20.500.14411/26

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Browsing Projeler by Department "Atılım University"

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    Research Project
    Lineer Olmayan Üçlü Schrödinger Denklemi İçin Yapı Koruyan Sayısal Yöntemler
    (2016) Ertuğ, Sevim; Aydın, Ayhan
    A nonlinear implicit energy-conserving scheme and a linearly implicit mass-conserving scheme are constructed for the numerical solution of a three-coupled nonlinear Schrödinger equation. Both methods are second order. The numerical experiments verify the theoretical results that while the nonlinear implicit scheme preserves the energy, the linearly implicit method preserves the mass of the system. In addition, the schemes are quite accurate in the preservation of the other conserved quantities of the system. Elastic collision, creation of new vector soliton, and fusion of soliton are observed in the solitary wave evolution. The numerical methods are proven to be highly efficient and stable in the simulation of the periodic and solitary waves of the equation in long terms. Dispersive analysis of the equation and the numerical methoda is investigated.
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    Research Project
    Multipl Skleroz Hastaları ile Bakımverenlerinin Psikolojik Belirti Düzeyleri, Sorun Alanları ve İhtiyaçları Açılarından Değerlendirilmesi
    (2016) Aytaç, Arife Berna; Demirtepe-saygılı, Dilek
    Multiple Sclerosis (MS) is a degenerative nervous system disorder which results from demyelinazation. The disorder whose etiology is not fully understood and which cannot be cured influences the person’s psychological health, daily lives and relationships, as well as their physical health. The aim of the current study is to investigate the adjustment to illness process, identify the needs, problems and psychological symptom level and its predictors of both the patients and their caregivers. To fulfill this aim, bu using both qualitative and quantitative method, information gathered from 40 MS patients and their caregivers is evaluated. Semi stuructured interviews were conducted and scales were administered measuring MS symptoms, health locus of control, ways of coping, caregiver well-being psychological symptoms. Results of the qualitative analysis revealed physical disability and illness symptoms, difficulties with social life, anxiety about the future and illness representations themes for the problems of patients. The needs of the patients were faith, social support and material needs. For the caregivers, the problems were illness symptoms, anxiety about the future and limitations of social life; whereas the needs were material, information and support and help. The results of the quantitative analyses revealed that as the level of physical symptoms increases, and the use of problem focused coping decreases, the level of psychological symptoms inceases. For the caregivers, as the level of fulfilling basic needs increases, as the use of problem focused coping decreases and as the use of emotion focused coping increases; the level of psychological symptoms inceases, too. Combining the qualitative and quantitative results, the themes specific to the patients whose level of psychological symptoms are high, were loneliness and rejection, for the caregivers negative point of view and rigidity. The results of the current study has important implications in terms of including both caregivers and the patients to the research focusing on chronic illnesses, as well as guidance for the psychosocial interventions for chronically ill people and their caregivers
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    Research Project
    Yönlendirilemeyen Yüzeylerin Gönderim Sınıf Gruplarının Cebirsel Yapısı
    (2013) Atalan, Feriha Ozan
    Mapping class groups of surfaces play a central role in the theory of low dimensional topology. Any information about algebraic structure of these groups might be useful in the solution of some topological problem of low dimensional manifolds. That is one reason why understanding algebraic sturucture of mapping class groups is so important. Consider a nonorientable connected genus g surface with k marked points. The main task of this project was to obtain information on the algebraic structure of the mapping class gorups of these surfaces. Through the project we have obtained results about automorphism groups of curve complexes of nonorientable surfaces and we gave some immediate applications of these results. In particular, we have shown that any isomorphism between two finite index subgroups of the mapping class group is given by the restriction of an inner automorphism of the mapping class group. Moreover, we have shown that the outer automorphism group of a nonorientable punctured surface of genus at least five is tirivial. Finally, we have observed that the Torelli subgroup of a nonorientable surface contains the generators analogous to those of orientable surfaces.