المستودع الرقمي العراقي

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استخدام التقنية شبه التحليلية في حل مسائل القيم الذاتية متعددة المعلمات

اسم المؤلف: دعاء رحيم عبود

الجامعة: جامعة بغداد

اسم المشرف: لمى ناجي محمد توفيق

الموضوع العام: علوم الرياضيات

الموضوع الدقيق: الرياضيات

الدرجة: ماجستير

اللغة: الانكليزية

السنة: 2015

مكان الجامعة: بغداد

المستخلص: This thesis is concerned with a semi - analytic technique to find the solution of two parameters, quadratic and MPEVPs for ODE.The technique finds the two parameters, quadratic, multi parameter eigenvalue and the corresponding nonzero eigenvector which represent the solution of the problems in a certain domain.Illustration examples is presented, which provided to demonstrate the efficiency and accuracy of the proposed technique where the suggested solution compared with other methods. Many applications in mathematical physics and electromagnetic or elastic wave equations, chemical reaction theory and nanotechnology such as Mathieu differential equation are solved.Also, we give an observations for control of error, control of residual and we proposed a new formula developed to estimate the error which help to reduces the accounts processes and improve the results are improved.The existing code bvpsuite designed for the estimate the error of solution of boundary value problems was extended by a model for the computation the estimate error for the solution of the problems in thesis

الصفحات الاولى: 📎 27T1135 - p.pdf