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الخوارزمية الجينية المسرعة لحل المعادلات التفاضلية التصادفية == Accelerated Genetic Algorithm Approach for Stochastic Differential Equations

Author name: ياسين مرزة حمزة
Supervisor name: ايمان علي حسين
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science For Girls - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: A novel method that considered herein to find numerical solutions of stochastic differential equations driven by Brownian motion are presented, using genetic algorithm method based on the Backus Naur Form (BNF). In this thesis the genetic algorithm was developed to be more efficient in solution of initial boundary value problems for these types of equations. The method was called accelerated genetic algorithm method (AGA). The following aspects of the research were regarded in this thesis as : Firstly, applying the genetic algorithm to find numerical solutions of ordinary and partial differential equations and verifying the results by comparing them with their exact solutions in order to confirm the accuracy of the method and the convergence. The implementation of the program revealed that it takes a long time as well as very large number of generations required to reach the exact solution or close to it, while these generations approach about 2000 generations or more. An attempt was made to speed up the algorithm required to get the required solutions .We found that the inserting vectors, which represent the initial and boundary conditions of a problem within the first generation of the algorithm, accelerated it so dramatically by shortest time of less than 10 generations. Each experiment in this thesis was performed 20 times. In the second aspect, the algorithm was applied to find numerical solutions of linear and nonlinear Black - Scholes models, which is the pricing models (European and American). We found that the results of solution are acceptable and convergent after comparing them with that of exact solutions and numerical solutions of other methods , however, the errors are very small with maximum 30 generations and tend to approach zero in most cases.IIformula to a system of partial differential equations and then find a numerical solution of this system, and then used the back substitutions to obtain the numerical solution of the original equations . The results of the application were compared with some numerical methods (such as Euler - Maruyama method and finite difference method) to verify the results and to investigate the efficiency of the algorithm performance in solution of these types of equations. It was found that the errors are very small with maximum 20 generations and tend to approach zero in most cases. In Fourth aspect, the algorithm also applied to find the numerical solution of stochastic partial differential equations which is transformed by using Doss - Sussman transformation into partial differential equations , and then find the numerical solutions of these equations which are ,consequently used to obtain the numerical solution to the original equation. The results of the application were compared with some numerical methods (such as Sual'yev method, finite difference method) to sustain the efficiency of the algorithm in solution of these types of equations, It was found that the errors are very small with maximum 30 generations and tend to approach zero in most cases. Fifthly, studying of the weak and strong convergences, and stability of these solutions obtained by the developed (accelerated) genetic algorithm was performed by comparing the results with convergence of some other methods . We found that the (AGA) method was excellent in convergence for all considered applications. Finally, Many programs are required for (AGA) method application and for other methods such as (Euler - Maruyama, Sual'yev, and finite difference method).These program were written using MATLAB programming language (MatlabR2010b), Because it is efficient and has the facilities do not exist in other languages.

حول التقريب الموجب والحافظ للاشارة في الفضاءات == On Positive and Copositive Approximation in Spaces

Author name: ندى زهير عبد السادة طرفة
Supervisor name: ايمان سمير عبد علي بهية
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: درسنا في هذه الاطروحة درجة التقريب الموجب والحافظ للاشارة للدوال في الفضاءات عندما بعد ذلك وضعنا هذه الدراسة في علاقة مع درجة التقريب غير المقيد. في البداية قدمنا المعيار الكاذب ثم استخدمناه لتعريف الفضاءات عندما وباستخدام المعيار الكاذب اعلاه قمنا بتعريف مقياس النعومة والدالي , K - كذلك قمنا بتعريف نوع جديد من تجزئة شبيشيف للفترة عندما عدد طبيعي . كذلك قدمنا نوع مطور لنظرية وتني للتقريب الحافظ للاشارة للدالة في الفضاءات عندما بدلاله مقياس متوسط النعومة وكذلك مقياس النعومة علما ان هذا التقريب كان باستخدام متعددات الحدود الجبرية. من المعروف ان درجة التقريب الحافظ للاشارة تكون دائما اكبر من درجة التقريب غير المقيد لذا قمنا في عملنا بتقوية هذه الحقيقة للدوال في الفضاءات عندما اي اننا برهنا نحن نعلم ان قيد الاشارة سيقيد من درجة التقريب الافضل للدوال في الفضاءات عندما ويجعلها بدلاله وليس في عملنا هذا برهنا انه عندما نجعل متعددة الحدود لا تتبع اشارة الدالة على فترات ذات اطوال تقترب الى الصفر لذا بامكاننا الحصول على مبرهنة مباشرة بدلاله وهذا ما سميناه التقريب الحافظ للاشارة دائما تقريبا وهذا سيجعلنا نحصل على درجة تقريب بدلاله . وفي نهاية عملنا قدمنا علاقة تربط درجة التقريب الحافظ للاشارة للدالة في الفضاءات عندما ودرجة التقريب الحافظ لاشارة المشتقة للدالة في الفضاءات عندما . | In this thesis we study the degree of positive and copositive approximation for functions in spaces for , and then relate it to the degree of unconstrained approximation. First we introduce the quasi norm , and then we use it to define the spaces for . Using the above quasi norm we define the , modulus of smoothness and the functional . We create a new version of Chebyshev partion for the interval , . We introduce an improved version of Whitney theorem for copositive approximation of functions in spaces for , in terms of modulus of smoothness and modulus of smoothness, using algebraic polynomials. It is well known that the degree of the copositive approximation is greater then the degree of the unconstrained approximation. In our thesis we strength this result for the functions in spaces for , it mean we prove . We know that the copositivity property restrict very much the degree of copositive approximation of the functions in spaces for in terms of only and not . In our thesis we show that if we make the polynomial not copositive with the function of intervals of length approach to zero we can get direct theorems in terms of and strength this result by a negative theorem that we can not prove a direct theorem for almost copositive approximation in terms of . At last we introduce a relationship between the degree of copositive approximation of functions and its copositive degree interims of its derivatives.

التوسيعات الراشدة والاغمارية == RATIONAL EXTENSIONS AND INJECTIVITY

Author name: مهدي صالح نايف
Supervisor name: مهدي صادق عباس
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Education For Girls - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: In this work, many of generalizations of injectivity are introduced and studied by using rational submodules and rationally closed submodules. The nation of (pseudo - ) injective modules is generalized to that of rationally (pseudo - )injective modules. On the other hand, the notions of (quasi - )injective modules and pseudo - injective modules are also generalized to that of RC - (quasi - )injective and pseudo - RC - injective modules respectively.Numerous properties and characterizations of these generalizations are given. Moreover, the relation between these notions is studied. Several known modules are characterization in terms of some of these concepts such as semisimple, rationally extending. Also, sufficient conditions for a direct sum of two rationally extending modules to be rationally extending are considered. The connections between some of these concepts and some other modules such as Hopfain, Co - Hopfain, divisible modules are discussed. Also, semisimple artinian rings, SI - rings have been characterized in terms of some of these concepts.

حل المعادلات التفاضلية الجزئية ذات الرتب الكسرية باستخدام طرائق متعددات الحدود المتحولة - السنك == Solving Fractional Order Partial Differential Equations by Using Sinc - Shifted Polynomials Methods

Author name: محمد غازي صبري
Supervisor name: اسامة حميد محمد | فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: الاهداف الرئيسية لهذه الاطروحة هي في اربعة اتجاهات.الهدف الاول هو استحدث طرائق تقريبية لحل بعض المسائل التغايرية وذلك عن طريق اشتقاق (تشبيشف المويجية المزاحة من النوع الرابع)(Shifted fourth kind Chebyshev wavelete).الهدف الثاني اشتقاق صيغ جديدة لمصفوفة عمليات لمشتقات وتكاملات لمتعدات حدود تشبيشف من النوع الرابع (fourth kind polynomials) والتي استخدمت لايجاد صيغ جديدة لمصفوفة العمليات هذه.الهدف الثالث هي لصياغة وبرهان مبرهنة التقارب المنتظم لمويجيات تشبيشف من النوع الرابع وايضا صياغة وبرهان مبرهنة تخمين دقة التقريب لمتعددات حدود تشبيشف من النوع الرابع.ان مصفوفة العمليات لمشتقات وتكاملات مويجات متعددات حدود تشبيشف المزاحة من النوع الرابع بالاعتماد على طريقة(الرص) ((collocation method, استخدمت لتحويل مسالة التغاير الى منظومة معادلات جبرية.اخيرا , الامثلة العددية برهنت دقة وكفاءة الخوارزميات المقترحة | The main objectives of this thesis may be oriented toward four directions. The first objective is to introduce an approximate methods for solving some variational problems by deriving the shifted fourth kind Chebyshev wavelets. The second objective is to derive new form for the operational matrices of differentiation and integration of the shifted fourth kind Chebysheve wavelet , which are used to formulate new form of the operation matrices. The third objective is to state and prove the uniform convergence theorem for the fourth kind Chebyshev wavelets and also state and prove the accuracy estimation for the fourth kind Chebyshev polynomials theorem. The operation matrices for differentiation and integration of the shifted fourth kind Chebyshev wavelets together with the collocation method are utilized to transform the variational problem into a system of algebraic equations. Finally, some numerical examples are included in order to verify the efficiency and accuracy of the proposed algorithms.

تمركزات وابدالية الدوال العليا على الحلقات الاولية من النمط - ? == Centralizing and Commuting of Higher Mappings on Prime ? - Rings

Author name: مازن عمران كريم
Supervisor name: صلاح مهدي صالح
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:
Abstract: واحدة من المشاكل المهمة في عملنا هي تحديد فيما اذا كانت الحلقة او الحلقة من النمط - Γ هي ابدالية ام لا . ان مفهوم تمركز الدوال على الحلقة قد قدم من خلال نتائج posner وكثير من المؤلفين الاخرين الذين درسوا هذا المفهوم وعمموه على الحلقات من النمط - Γ . لذا فان الغاية او الهدف الرئيسي من هذا العمل هو دراسة ابدالية الحلقات والحلقات من النمط - Γ وذلك باستخداممفهوم التمركز للدوال وكالاتي درسنا ابدالية الحلقات والحلقات من النمط - Γ من خلال استخدام التمركز على المشتقات من النمط - (σ,τ) ((σ,τ) - derivations ). درسنا ابدالية الحلقات والحلقات من النمط - Γ من خلال استخدام التمركزعلى المشتقات العليا. درسنا ابدالية الحلقات والحلقات من النمط - Γ من خلال استخدام التمركزعلى التمركزات اليسرى العلياكذلك قدمنا المفاهيم التالية للتمركزات اليسرى العليا من النمط - (σ,τ) وتمركزات جوردان اليسرى العليا من النمط - (σ,τ) وكذلك تمركزات جوردان اليسرى العليا الثلاثية من النمط - (σ,τ) , وقد درسنا العديد من الخواص للمفاهيم التي قدمناها وكذلك عممنا هذه المفاهيم الى مفاهيم التمركزات اليسرى العليا وتمركزات جوردان اليسرى العليا . | One of the very important problem in our work is to diacritics that the ring or the Γ - ring is commutative or not .The concept of centralizing of a mapping on a ring was inducted by the results of Posner and many authors who studied this concept and generalized it on Γ - rings. The main aim of this work is to study the commutativity of the ring and Γ - ring by using the concepts centralizing and commuting mappings . We use many types of mappings to study the main aim of this work which are Study the commutitivity of the rings and Γ - rings by using centralizing and commuting(σ,τ) - derivations . Study the commutitivity of the rings and Γ - rings by using centralizing and commuting higher derivations . Study the commutitivity of the rings and Γ - rings by using centralizing and commuting higher left centralizers.Also we introduce the concepts of higher left(σ,τ) - centralizers , Jordan higher left(σ,τ) - centralizers and Jordan triple higher left(σ,τ) - centralizers and many properties of this concepts are studied in rings and Γ - rings in this works. Also we generalized the above concepts to higher left centralizers and Jordan higher left centralizers.

بعض اصناف الاغمارية والاسقاطية == Some Classes Of Injectivity And Projectivity

Author name: منى جاسم محمد علي
Supervisor name: عادل غسان نعوم
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: University of Baghdad - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

Dynamics Of Certain Families Of Transcendental Meromorphic Functions

Author name: سلمى مصلح فارس
Supervisor name: عادل غسان نعوم
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: University of Baghdad - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

طريقة الخطوة التراجعية لحل المعادلات التفاضلية الجزئية اللاخطية == The Backstepping Method For Solving Nonlinear Partial Differential Equations

Author name: احمد ايوب يوسف
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

حول ثنائـية المشـتقات المعممة والدوال المرتبطة == On Generalized Bi Derivations And Related Additive Mappings

Author name: عدي حكمت محمود
Supervisor name: عبد الرحمن حميد مجيد
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

نظام فوضوي مبتكر في تشفير الصورة == A Novel Chaotic System In Image Encryption

Author name: صادق عبد العزيز مهدي
Supervisor name: عبد علي حمودي الطائي | سالم علي عباس
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

خوارزميات بحث محليه ذات دوال هدف متعددة لحل مسائل جدولة منفردة وانسيابية == Multiobjective Local Search Algorithms To Solve Single And Flow Shop Scheduling Problems

Author name: شهباء محمد يوسف
Supervisor name: سعد طالب حسون الجبوري
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

شبكات عـصبية ذات تغـذية تقدمية مسرعة لحل مسائل الاضطراب الشاذة == Fast Feed Forward Neural Network For Solving Singular Perturbation Problems

Author name: خالد منديل محمد
Supervisor name: لمى ناجي محمد توفيق
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

مقاسات التقاطع (الجمع) المغلق == Modules With Closed Intersection (Sum) Property

Author name: ثائر يونس غاوي
Supervisor name: انعام محمد علي هادي
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

حول اصناف جزئية جديدة للدوال التحليلية لنظرية الدالة الهندسية == On New Subclasses Of Analytic Functions In Geometric Function Theory

Author name: ثامر خليل محمد صالح الخفاجي
Supervisor name: وقاص غالب عطشان
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

تذبذب وعدم تذبذب المعادلات المحايدة التفاضلية وذات الفروق من الرتبة الثانية == Oscillation And Nonoscillation Of Neutral Second Order Differential And Difference Equations

Author name: انتظار زامل مشتت
Supervisor name: حسين علي محمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

مساهمات في التحليل الطيفي == Contributions Of Spectrum Analysis

Author name: احمد شهاب حمد العتابي
Supervisor name: صلاح حمزة عبد البديري
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

حول تقريب الدوال متعددة الابعاد باستخدام الشبكات العصبية ذات التغذية التقدمية == On Approximation of Multidimensional Functions by Using Feedforward Neural Networks

Author name: نجلاء محمد حسين الخفاجي
Supervisor name: رياض شاكر نعوم
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: University of Baghdad - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

التقريـــــب المتعــــــدد المـوزون المحـدب == Convex Weighted Multi Approximation

Author name: نادية محمد جواد ابراهيم
Supervisor name: صاحب كحيط جاسم الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

اصناف من المقاسات نسبة الى نظريات الالتواء == Classes Of Modules Relative To Torsion Theories

Author name: مهند فرحان حميد
Supervisor name: مهدي صادق عباس
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - Faculty Of Education
Language: English
University location: Baghdad
First pages:

الترتيبات الحرة القابلة للحـل العلـوي == The Hypersolvable And Free Arrangements

Author name: ربيعة كاطع عبطان العلياوي
Supervisor name: عبد علي حمودي الطائي | ميشيـل جامبـو
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

بناء مولد تشفير انسيابي بالاعتماد على الزمرة الضربية الدوارة == Digital Stream Cipher Generator Based On Multiplicative Cyclic Group

Author name: نجاة عبد الاله شريف
Supervisor name: ستار بدر سدخان المالكي | طارق صالح عبد الرزاق
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:

دراسة الاستقرارية لنموذج مطور لمتسلسلة زمنية والتنبؤ باستخدام بعض التقنيات الذكائية == A Study Of The Stability Of A Modified Time - Series Model And Forecasting Using Some Intelligent Techniques

Author name: حنين طلال جاسم الوزان
Supervisor name: عبد الغفور جاسم سالم | قيس اسماعيل ابراهيم
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: University of Al Mosul - College Of Computer Science And Mathematics - Department Of Mathematics
Language: English
University location: Mosul
First pages:

خوارزميات منطقة الثقة المطورة لحل الامثلية اللاخطية == Modified Trust - Region Algorithms For Solving Non - Linear Optimization

Author name: هدى خليل محمد المشهداني
Supervisor name: نضال حسين الاسدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: University of Al Mosul - College Of Computer Science And Mathematics - Department Of Mathematics
Language: English
University location: Mosul
First pages:

الملاحة والتقصي عن وصلة موقع على شبكة الانترنت باعتماد خوارزميات رياضية == Navigation and Search for Web Links By Mathematical Algorithms

Author name: طلال فاضل حسين
Supervisor name: باسل يونس ذنون الخياط
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: University of Al Mosul - College Of Computer Science And Mathematics - Department Of Mathematics
Language: Arabic
University location: Mosul
First pages:

مقارنة بعض الاختبارات الحصينة لتحليل التباين المتعدد المتغيرات MANOVA في مجال تصميم التجارب == ON Comparison of Some Robust Testing for MANOVA in Experimental Designs

Author name: سداد خليل ابراهيم حسين العزاوي
Supervisor name: ظافر حسين رشيد النجار | سامي داود كبارة
General topic: Mathematics
Specific topic: Mathematics
Degree: Doctorate
University: Mustansiriyah University - College Of Science - Department Of Mathematics
Language: Arabic
University location: Baghdad
First pages:
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