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الحلول العددية للمعادلات التفاضلية الخطية ذات الرتبة الكسرية المتغيرة باستخدام متعددات حدود بيرنشتاين == The Numerical Solution of Linear Variable Order Fractional Differential Equations Using Bernstein Polynomials
اسم المؤلف:
الشيماء عبد الفتاح عمر
الجامعة:
جامعة النهرين - كلية العلوم - قسم الرياضيات وتطبيقات الحاسب
اسم المشرف:
اسامه حميد محمد
الموضوع العام:
علوم الرياضيات
الموضوع الدقيق:
التحليل العددي
الدرجة:
ماجستير
اللغة:
الانكليزية
السنة:
2017
مكان الجامعة:
بغداد
المستخلص:
The main theme of this thesis is oriented about three objects : The first objective is to study the basic concepts of fractional calculus and variable - order fractional differential equations.The second objective is about solving numerically the variable - order fractional differential equations using operational matrices of Bernstein polynomials.The proposed approach will transform the variable - order fractional differential equations into the product of some matrices which can be considered as a linear system of algebraic equations, after solving the resulting system the numerical solution can be obtained.The third objective is to find the numerical solution of multiterm variable - order fractional differential equations using operational matrices of Bernstein polynomials, also the proposed method will transform the multiterm variable - order fractional differential equations into the product of matrices in other words into a system of linear algebraic equations, and the numerical solution will be reached after solving the resulting system.
الصفحات الاولى:
📎 27T1055 - p.pdf
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