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Now showing items 1-10 of 10

#### Solving The 2D Biharmonic Equation: A Numerical Approach Based On Spline Collocation

(2016-07)

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 two-dimensional biharmonic ...

#### Some applications of the Hyperbolic Metric

(2015-06)

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 ...

#### Iterative Methods for the Numerical Solutions of Boundary Value Problems

(2014-06)

The aim of this thesis is twofold. First of all, in Chapters 1 and 2, we review the well-known Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM) for obtaining exact and numerical solutions for ...

#### Study of the Electromechanical Models for Cardiac Activity

(2017-05)

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 ...

#### On The Unit Dot Product Graph Of A Commutative Ring.

(2016-01)

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 ...

#### Alternating Direction Implicit Method for the Electro-Cardiology Models

(2017-05)

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, ...

#### Additive Cyclic Codes Over Rings

(2015-02)

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 ...

#### Subsonic Flow over a Thin Airfoil in Ground Effect: a Functional Analytic Approach

(2017-05)

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 ...

#### Solving Fourth Order Differential Non-Linear Equations, Existence and Uniqueness

(2017-05)

The aim of this thesis is to present a novel numerical approach for the solution of a class of non-linear fourth-order boundary value problems. The method is based on embedding Green's function into some fixed point iteration ...

#### Neural Networks as a Convex Problem

(2016-09)

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 ...