Browsing Masters Theses by College/Dept "Department of Mathematics and Statistics"
Now showing items 110 of 10

Additive Cyclic Codes Over Rings
(201502)This Master's thesis introduces a reader with an average knowledge of mathematics to coding theory. A background in algebra is included with the required details needed in coding theory. The thesis guides the reader from ... 
Alternating Direction Implicit Method for the ElectroCardiology Models
(201705)Electrophysiology is an area of science that led to innovative experimentations between clinicians and scientists. Studying and understanding cardiac dynamics plays a key role in designing therapies, preoperative planning, ... 
Iterative Methods for the Numerical Solutions of Boundary Value Problems
(201406)The aim of this thesis is twofold. First of all, in Chapters 1 and 2, we review the wellknown Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM) for obtaining exact and numerical solutions for ... 
Neural Networks as a Convex Problem
(201609)We reformulated the problem of training the neural networks model into a convex optimization problem by performing a local quadratic expansion of the cost function and adding the necessary constraints. We designed a new ... 
On The Unit Dot Product Graph Of A Commutative Ring.
(201601)In 2015, Ayman Badawi (Badawi, 2015) introduced the dot product graph associated to a commutative ring A. Let A be a commutative ring with nonzero identity, 1 n < 1 be an integer, and R =A x A x ... x A (n times). We ... 
Solving Fourth Order Differential NonLinear Equations, Existence and Uniqueness
(201705)The aim of this thesis is to present a novel numerical approach for the solution of a class of nonlinear fourthorder boundary value problems. The method is based on embedding Green's function into some fixed point iteration ... 
Solving The 2D Biharmonic Equation: A Numerical Approach Based On Spline Collocation
(201607)In this thesis, several numerical methods, that are based on spline basis functions, are suggested for the solution of a general class of fourth order boundary value problems. In particular, The twodimensional biharmonic ... 
Some applications of the Hyperbolic Metric
(201506)This thesis is an expository of the hyperbolic geometry in general and the hyperbolic metric for several domains in particular. The thesis also focuses on the differences between the Euclidean geometry and hyperbolic ... 
Study of the Electromechanical Models for Cardiac Activity
(201705)The mathematical modeling of the complex physical phenomena occurring in the heart is an area of increasing interest, as it facilitates the better understanding of relevant mechanisms driving the behavior of the system in ... 
Subsonic Flow over a Thin Airfoil in Ground Effect: a Functional Analytic Approach
(201705)In this work, the problem of subsonic compressible flow over a thin airfoil located near the ground is studied. A singular integral equation, also known as the Possio integral equation [29], that relates the pressure jump ...