Welcome to the Digital Repository of Mohamed Boudiaf University - M'Sila

The University of Mohamed Boudiaf - Institutional Repository (UMB-IR) is your one-stop shop for the university's research findings. This digital archive preserves a wide range of scholarly materials, including publications, conference presentations, book contributions, entire books, theses, and research data. Data can be in various formats, such as videos, spreadsheets, code, and images. The IR also keeps presentations and other scholarly resources.

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Now showing 1 - 5 of 11

Recent Submissions

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    Proxy Server System
    (University of M'sila, 2026-06-10) Maram, Azouzi; Linda, Aoufi; Makhlouf, Benazi
    Modern network environments demand robust, granular, and centralized security monitor￾ing mechanisms to regulate web traffic and mitigate organizational data risks. This Master's thesis presents the design and implementation of a centralized web filtering proxy server in￾tegrated with an interactive management dashboard developed using Python and the Flask framework. The core system leverages low-level socket programming to intercept outbound client HTTP and HTTPS requests, extracting hostnames and protocol layers in real time. En￾forced by a custom-built rule matching mechanism, the filtering engine cross-references these connection streams against flat-file configurations to block restricted domains and optimize content compliance via text-based keyword matching. Concurrently, a multi-threaded archi- tecture ensures fluid bidirectional socket relays and structural HTTPS tunneling via protocol transparent handshakes. To eliminate command-line complexities for system administrators, the integrated Flask dashboard provides a centralized interface for real-time traffic auditing, interactive CRUD management of blacklists, and automated activity log visualization. Em pirical validation shows that the prototype establishes a responsive, lightweight, and single pane-of-glass solution for boundary network access control without commercial infrastruc ture overhead.
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    Comparative Study of Explicit and Implicit Schemes for the 1D Heat Equation
    (University of M'sila, 2026-06-10) Ibtissam, Achour; Zineb, Guellati
    This thesis presents a comprehensive and in-depth comparative study between explicit and implicit numerical computational schemes for solving the one-dimensional (1D) unsteady heat equation, which is mathematically classified as a parabolic partial differential equation (PDE). The primary objective of this research is to evaluate the mathematical performance, computational efficiency, and numerical stability of both the explicit Forward-Time Central- Space (FTCS) scheme and the implicit Backward-Time Central-Space (BTCS) scheme under Dirichlet boundary conditions. The theoretical framework of the thesis covers the formulation of the Finite Difference Method (FDM) based on Taylor series expansion, while focusing on the three fundamental pillars of numerical analysis: consistency, stability, and convergence. An integrated simulation program was developed within the MATLAB environment to evaluate five distinct case studies by varying the parametric stability parameter r (ranging from 0.40 to 0.65) and comparing the results against the exact analytical solution derived via Fourier series expansion.
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    On type-2 and type-3 Fuzzy sets
    (University of M'sila, 2026-06-10) Ayache, Charef Khodja; Kheir, Saadaoui; Soheyb, Milles
    This thesis presents a comprehensive mathematical review of the hierarchical evolution of fuzzy sets across their three generations, aiming to simplify the computational complexity and algebraic intractability of three-dimensional systems to make them practically computable. The first chapter addresses fuzzy relations and algebraic triangular norms (t-norms) for Type-1 systems, while the second chapter focuses on the geometric modeling of Interval Type-2 membership functions and the analysis of the Footprint of Uncertainty (FOU). Finally, the research concludes in the third chapter by investigating general Type-3 fuzzy hierarchies and employing alpha-plane (α-planes) decompositions to transform complex volumetric structures into crisp, actionable intervals, establishing these advanced systems as a vital cornerstone for next-generation artificial intelligence, intelligent control, and automated medical diagnosis.
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    Some Remarks On Morrey Spaces and Stummel Classes
    (University of M'sila, 2026-06-10) Aouda, Tahri; Abdelaziz, Hellal
    This memory deals with the study of the inclusion relation between Morrey spaces and Stummel classes, as well as showing that the Stummel class is larger than the weak Lebesgue space, which in turn is larger than the Lebesgue space. Moreover, the Stummel class has applications in studying the regularity properties of solutions to certain partial differential equations.
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    Approximate Solutions for Time-Fractal Fractional Differential Equations
    (University of M'sila, 2026-06-10) Ouarda, LAMRI; Saad, Abdelkebir
    In this Master’s dissertation, we present numerical methods for solving time-fractal fractional differential equations. A new fractal derivative of order 𝛼 ∈ (0, 1] is introduced, and the fractal Laplace transform is developed to obtain exact solutions. For numerical approximations, we implement the fourth-order Runge-Kutta method (RK4) for fractal ordinary differential equations and develop a Legendre collocation method combined with shifted Legendre polynomials for fractal partial differential equations, using the forward Euler scheme for time integration. Numerical results are presented in 2D and 3D plots, with errors computed using 𝐿2 and 𝐿∞ norms, demonstrating high accuracy and convergence of the proposed methods.