احصاء - ماجستير
Permanent URI for this collectionhttps://repository.neelain.edu.sd/handle/123456789/624
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Item An Introduction To The Finite Element Method (Heat Transfer)(Al-Neelain University, 2014) Amna Bakri Humieda BabekerAbstract In this thesis, we studied finite element method to solve the ordinary and partial differential equations with the boundary values problem (1D,2D). As application of finite element method we use it to solve the equation of heat transfer. الخلةصة في هذا البحث درسنا طريقة العنصر المنتهي لحل مسائل القيم الحديه للمعادل ت التفاضليه العاديه و الجزئيه (بعد واحد -بعدين) .و كتطبيق لهذه الطريقه قمنا بحل معادلة التنتقال الحراري .Item On the solution of the successive linearization method to mixed convection boundary layer flow(Alneelain University, 2017-02) Mousrat Mohammed Elkheir BarakatMixed convection heat and mass transfer along a vertical plate embedded in a power- law fluid saturated Darcy porous medium with chemical reaction and radiation effects is studied. The governing partial differential equations are transformed into ordinary differential equations using similarity transformations and then solved numerically using successive linearization method. A parametric study of the physical parameters involved in the problem is conducted and a representative set of numerical results is illustrated through graphs and tables.Item The Theory of Lie Algebra with Some Applications(Al-Neelain University, 2016) Amir Bashir Mohammed AliAbstract: Lie algebras and their representations are very important to study several problems in mathematics, physics and Sciences. Lie algebra is an associated algebra of a Lie group, that is usually a symmetry group of a problem, such as a differential equation. In this study we gave alternative descriptions of Lie algebra. The descriptions are analytical, algebraic and geometrical. For instance a Lie algebra is a tangent space to the identity to a Lie group. For the sake of applications of Lie algebra we concentrated on the theory of representations of Lie algebras. IV مستخلص الدراسة إن جبر لي وتمثيالته هام جدا لدراسة المسائل المختلفة في الرياضيات و الفيزياء والعلوم. لقد تم ربط جبر لي بمجموعة لي، حيث طبق هذا الجبر في مسائل عديدة كالمعادالت التفاضلية. في هذه الدراسة قدمنا وصفا تحليليا وجبريا وهندسيا لجبر لي، فمثال الوصف الهندسي لجبر لي يمثل فضاء المماس عند العنصر المحايد. من أجل التطبيق ركزنا على نظرية التمثيل لجبر لي.