كلية العلوم الرياضية والاحصاء
Permanent URI for this communityhttps://repository.neelain.edu.sd/handle/123456789/623
Browse
16 results
Search Results
Item Representation Theory of Finite Group with Some Applications(AL-Neelain University, 16) Hiba NasrEldin MohamedThis research aims to study the representation theory as a tool that transform abstract groups to groups of linear transformations easy to deal with. This research depends on groups and fields theory and vector spaces to construct the structure of these spaces. We studied vector spaces because of structures. In particular we dealt with finite groups and we gave some applications.Item APPLICATION OF - " THE VIRIAL METHOD TO THE SOLUTION OF SOME PROBLEMS < ' IN FLUID DYNAMICS(Alneelain University, 2006) Mohamed Saad E1-Din Abdel Gafoor Abdel MagidThe problem of the charged spheroidal bubble is studied using the virial method. The conditions that are necessary for equilibrium are deduced and the oscillation of the bubble is studied . The frequencies belonging to the second order harmonics are found . Further extension of the virial theorem is made by studying the viscous fluid sphere in an incompressible viscous fluid giving the different and necessary virial equations of motion for both the exterior and the interior media and then the equilibrium state is studied.Item Mathematics '(Alneelain University, 2014) Mohammed Hassen ElzubairAbstract In this research we utilized twister theory to describe the geometry of space-time. The twistors are derived from Spinors which are also used to write zero rest- mass fields equations. We mainly used the properties of twistor filnction to generate zero rest- mass fields, where this function is formulated from both the geometry and topology of Minkowski spaceItem Some Harvesting Problems(Alneelain University, 2015-07) Ranya Hamid El NourABSTRACT. The aim of this thesis is to study and solve optimal control problems for systems driven by both: Brownian motion and Levy processes. The methods of solution used are: Dynamic programming, and Maximum principle where the known Clark-Ocone theorem is applied. The application of Clark-Ocone theorem needs the existence of Malliavin derivative and its extesion in L2 spaces. As an application , the thesis considered an example of harvesting problem in a crowded media as well as searching for optimal portfolio strategies in hedging options in markets driven by both: Brovmian motion and Levy processes.Item The geometric formulation of electromagnetic fied(Alneelain University, 2008-08) Tagreed Ahmed F adeel; Tagreed Ahmed F adeelAbstract In this research we studied Maxwell's field equations. The treatment is different from the classical approach. It is both global and fi'ee of coordinates. So we used the language of differential forms and fiber bundle whose base space is a general manifold. The geometrical description is neat and short. Moreover the gravitational force is incorporated in the electromagnetic field, being written in curved space —time.Item solation of some stochatic paril differentionl equations(Alneelain University, 2006) Sana Hussein F adl AllahItem THE GEOMETRICAL QANTIZATION OF PHYSICAL FIELDS(Alneelain University, 2007-10) Khalid Masoud Makin Mohamed AliABSTRACT We considered the problem of geometric quantization. We first started with the classical symplectic geometry and then'we used the complex line bundle to describe prequantization and quantization. Geometrically the Hilbert space of quantum states is constructed from the sections of the complex line bundle over the phase space. We then used the invariance group approach to the geometric quantization.Item INTEGRAL TRANSFORM METHODS SOLUTION OF BINGHAM FLUID FLOW(Alneelain University, 2008) fawzia monsour dalamabstract In this research We stu dy the Blngham fluid flow by the method of integral transforms which are considered as the most efficient methods for solving physical and engineering problems. Investigation of flow characteristics of Bingham fluid and the differences between a Newtonian and non-Newtonian fluid Was given. The basic equations that describing shear stress and velocities of non-Newtonian fluids were discussed. Finally We applied the Laplace and Fourier transforms for solving a problem of unsteady state unidirectional flow of Bingham fluid and we found that the integral transform methods is suitable for problems of this kind.Item FUNCTIQN L N SIS EA§E@ QN EXISTEifi€E%fl% %NlQUENES§ Féfi PA§ik NTiAL(Alneelain University, 2007-11) Um Kalthoum Suliman KanonaA§STfiA€T" In this study, we considered existence and uniqueness problems for partial differential equations. . We used functional analysis techniques, where a partial differential equation is regarded as an operator on an appropriate Hilbert space. This Hilbert space is in fact a Sobolev space. In particular, we have dealt with two methods, variation methods and energy integral method. We have illustrated the techniques with some examples.Item Analysis of a Mathematical Model of Malaria Disease(2018-01) Mohamed Kamalaldin Mohamed BabekirAbstract Malaria is one of the deadliest diseases around the world causing the death of around 429,000 person in the year 2015 only. This led the scientists around the world to work hard to fight against the disease. In this study, we analyzed the mathematical model of malaria transmission. We calculated R0 which could determine the future of the disease. We examined two sets of parameters, low prevalence and high prevalence and we calculated the effect rate of all parameters using sensitive analysis. Numerical simulations are carried out to confirm the analytical results and explore the possible behavior of the formulated model.