https://scholar.ptuk.edu.ps/handle/123456789/910 Wed, 29 Apr 2026 18:13:54 GMT 2026-04-29T18:13:54Z https://scholar.ptuk.edu.ps/handle/123456789/948 Title: A Mathematical Model of Regional Socio-Economic Development of Palestine Authors: Haj Ali, Nour Abstract: In this study, we describe the socio-economic development in Palestine. Mathematical modeling is used as a tool to explain the main factors that e§ect on the development of Palestine economy. We use two mathematical models to perform the study. The Örst model is in three dimension and the second model is an extension to the Örst model and is in four dimensions. The suggested models are constructed from a set of non-linear continuous di§erential equations which introduce the main study variables (population, jobs, energy and occupation) and coe¢ cients (control vector) that is joint between the two models. At each stage, the proposed models are analyzed mathematically by Önding general and numerical Öxed points. The stability is examined by analyzing Jacobian matrix and the eigenvalues. We clarify the type of bifurcation, direction Öeld diagrams, the numerical solution and the behavior of the system during time. In addition, MATLAB program is used to Önd solutions and to demonestrate the results graphically and numerically. On the other hand, Newton method is used to obtain di§erent values for the basic variables in each stage through some values and observations to give an impression for a progress and improvement in the Öeld of regional economic and social development. Moreover, the value of coe¢ cients are computed based on Palestinian Central Bureau of Statistics (PCBS) by using percentage rate method (growth rate for values). Furthermore, the study cover the occupation period by choosing di§erent base and comparison years for each parameter. The results of numerical simulation and analysis verify the system is chaotic with unstable Öxed points. Wed, 30 Mar 2022 00:00:00 GMT https://scholar.ptuk.edu.ps/handle/123456789/948 2022-03-30T00:00:00Z https://scholar.ptuk.edu.ps/handle/123456789/947 Title: Mathematical Modeling of the Global Positioning System GPS Authors: Awwad, Diaa Abstract: The Global Positioning System (GPS) is a space-based radio navigation system that provides consistent positioning, navigation and timing services to users on a continuous worldwide basis. The objective of this thesis research is to give the readers a working familiarity with both the basic theoretical and practical aspects of how the GPS works. In this research, we have addressed the most important issues related to GPS, such as the transmission of information through it, the mechanism used by GPS receiver to determine our position depending on satellite information, we also studied the factors that led to errors in determining the location. This thesis is divided into 5 sections. First, it introduces a condensed GPS program history, the main components of a GPS receiver (hardware) and some useful applications for the GPS. Second, the nature of the signal, the transmission of the signal, and the mechanisms involved in its transmission are discussed. It also shows how the receiver obtains the signal with the best accuracy, where the receiver basically corrects the frequency of the signal (the carrier plus the well-known PRN code). Third, the wave transmission in its three-dimensional form is discussed and how to deal with this shape mathematically. Fourth, we provide the basic mathematical methods used to calculate user’s position with the help of Matlab program. Finally, we focused on how to model a mathematical expression for GPS signal tracking using a phase-locked loop filter receiver in order to obtain a zero steady state error. Then the Z-transform is used to build a phase-locked loop in software for digitized data. Wed, 02 Feb 2022 00:00:00 GMT https://scholar.ptuk.edu.ps/handle/123456789/947 2022-02-02T00:00:00Z https://scholar.ptuk.edu.ps/handle/123456789/946 Title: Using Markov Chains Model and Decision Tree Classifier to Predict the Behavior of Palestinian Stock Market Prices - Case Study :Paltel Authors: Awwad, Areej Abstract: Predicting the behavior of stock market prices has been one of the most poplular topic interest for researchers due to its complex and dynamic nature.In this thesis Markov Chains Model and Decision Tree Classifiers applied to forecast and analyse the behavior of the Palestinian Stock Market prices- case study :Paltel. For this purpose, 243 days includus the daily opening price, volume and number of deals covering the period from 2nd January 2019 till 31th December 2019 of Paltel company were collected from Palestine Exchange .At the beginning the Markov Chain model was applied depending on the opening price where Markov Chain model is a probability model depend on transition probability matrix and initial Mon, 24 May 2021 00:00:00 GMT https://scholar.ptuk.edu.ps/handle/123456789/946 2021-05-24T00:00:00Z https://scholar.ptuk.edu.ps/handle/123456789/945 Title: Development of Mathematical Models for Solar Radiation in Palestine Authors: Ofie, Sally Abstract: In this thesis, we investigate several methods for the prediction of solar energy in the city of Tulkarm-Palestine. These methods include linear method, nonlinear methods, and Markov chains method. Markov chains method has been implemented using Matlab, MS Excel program and manual application. Numerical results indicate the accuracy of these methods. However, according to comparison of these methods, we conclude that the Markov chains method provides more optimal result. Thu, 17 Jun 2021 00:00:00 GMT https://scholar.ptuk.edu.ps/handle/123456789/945 2021-06-17T00:00:00Z