Abstract We present in this thesis the numerical solution to the partial differential equations of parabolic type using the finite-difference methods, namely explicit and Crank-Nicolson methods. We account the local truncation error of the two schemes by using Taylor series and discuss the consistency or compatibility, convergence and stability of these schemes for the parabolic equations. We present vector and matrix norms, also a necessary and sufficient condition for stability. Finally s...
Abstract We show that if a pair of weights (u, ) satisfies a sharp Ap - bump condition in the scale of all log bumps certain loglog bumps , then Haar shifts map ( ) into (u) with a constant quadratic in the complexity of the shift . This in turn implies the two weight boundedness for all Calderón – Zygmund operators. We obtain a generalized version of the former theorem valid for a larger family of Calderón – Zygmund operators in any ambient space . We present a bilinear Tb theorem for...
Abstract Dynamical Systems is the study of the long-term behavior of evolving systems. In this research we studied Lagrangian and Hamiltonian Dynamical systems using Clifford manifolds. The Clifford analogue of Lagrangian and Hamilton Dynamical systems is introduced. In fact a new dynamics on Clifford manifold has been constructed via some local canonical basis. This construction provides wide applications to Physical equations and their geometrical interpretation.
Aimed to this study was to study the antibacterial activity of the different concentrations of methanolic and aqueous extract of the medicinal plants A.nilotica sub spp nilotica and sub spp adansonii pods using agar dilution method. Hundred wound swabs were collected from patients with infected wounds who attended to Soba Teaching Hospital and Alban Gadeed Teaching Hospital during period from March to October 2015. From this study it was found that wound infection had high frequency in patien...
ABSTRACT Numerous pyrazoline derivatives have been found to possess considerable biological activities; this fact had led us to model and design 120 trisubstituted 2-pyrazoline derivatives by linking pyrazoline ring system with different substituents in position 1, 3 and 5. Quantitative structure–activity relationship (QSAR) studies were carried out in order to get models that can be used to predict the anti-cancer activity of designed compounds. Data set of compounds consisting of pyrazol...
Abstract The present study was designed to investigate the antioxidant and antimicrobial activities of three Sudanese plants ; (Rheumpalmatum Rutagraveolens, Moringaperegrine) Phyto chemical study was conducted to detect thebioactive compounds. The crude ethanolic extract was partitioned successively by chloroform , ethyl acetate and n-butanol. Different fractoins were assessed for antimicrobial potency against standard bacterial strains: Gram positive ( Bacillus subtilis (NCTC8236), Staphyl...
Abstract We find the approximate solution for hyperbolic equation in one space dimension using two finite different schemes: Lax- Wendroff and upwind schemes Then, we study Fourier analysis of these two schemes. we also approximate the numerical solution of system of hyperbolic equations by using finite volume scheme and leap-frog schemes. As well, we study the Fourier analysis of these two schemes. Finally, we study the consistency, convergence and stability for hyperbolic equation in one s...
ABSTRACT One of the most important factors playing role in chronic hepatitis B pathogenesis is cytokine release and one of the cytokines with antiinflammatory characteristic is interleukin-10 (IL-10). The aim of the present study was to estimate IL-10 levels and to evaluate the utility of using it as biomarker for monitoring the progression and treatment of chronic hepatitis B infection. Sixty patients with chronic hepatitis B disease confirmed by persistence expression of HBsAg for more tha...
Abstract Noble metals nanoparticles are considered as promising material due to their unconventional characteristics owing to several technological applications. Their small size and large surface to volume ratio as compared to their bulk form leads to differences in their physical and chemical properties. As the results, these metallic nanoparticles have found a wide range of applications in almost all fields of research. Silver (Ag) nanoparticles are the most common one being employed in e...
Abstract This study aims to use modern Data Mining techniques to analyze admission data of Sudanese universities. The current methodology contains two data warehouse structures; a star and a snowflake. A star data warehouse structure was used to develop several Association Rules Mining models. The snowflake data warehouse structure was used to create a smart user interface based on OLAP (On Line Analytical Processing) technique as the first system for OLAP in Sudan. However the Association R...
ABSTRACT The study of magnetohydrodynamics (MHD) flow has received much attention in the past years owing to its applications in MHD generators, plasma studies, nuclear reactor, geothermal energy extractions, purifications of metal from non-metal enclosures, polymer technology and metallurgy. In view of the above, theoretical analysis of the effects of buoyancy force, velocity slip, temperature jump and thermal radiation on entropy generation rate were investigated on electrically conducting...
ABSTRACT Adansonia digitata has popular ethnomedicinal application in the treatment of malaria in sub-Saharan Africa. The present study sought to investigate the antimalarial and antioxidant effects of methanol and flavonoid-rich extracts of the stem bark on Plasmodium berghei-infected mice in vivo. Thirty-five male mice, weighing 18-20 g and randomly allocated into seven groups of five animals each were used. Group 1, which served as the positive control, was pretreated with 1 ml/kg of the ...
ABSTRACT There are several real life data sets that do not follow the Normal distribution; these category of data sets are either negatively or positively skewed. However, some could be slightly skewed while others could be heavily skewed. Meanwhile, most of the existing standard theoretical distributions are deficient in terms of performance when applied to data sets that are heavily skewed. To this end, the aim of this study is to extend the Inverse Exponential distribution by inducing it ...
ABSTRACT Type 2 diabetes mellitus (T2DM) is a chronic progressive disease that has continued to be a global heath and economic burden. Acarbose is an antidiabetic drug, which acts by inhibiting alpha amylase and alpha glucosidase; while gallic acid is a simple phenolic acid that is widespread in plant foods and beverages such as tea and wine.This study therefore, sought to investigate the influence of gallic acid on α-amylase and α-glucosidase inhibitory and antioxidant properties of acarb...
ABSTRACT The ability of a system to meet the stated requirements affects the success and overall usability of the system. The presence of implicit requirements create difficulties in fulfilling the desires and needs of the stakeholders during software development. Identification of implicit requirements is essential to the functionality of the software as implicit requirements are equally as important as explicit requirements. Although different researchers and practitioners have identified ...