ABDELOUAHAB Mani

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ABDELOUAHAB Mani

عبدالوهاب ماني

abdelouahab.mani@univ-msila.dz

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  • MI - Joint Basci Teaching Department
  • Faculty of Mathematics and Informatics
  • Grade PHd
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About Me

Education

شهادة الماجستير. in جامعة محمد البشير الإبراهيمي

Domain

Mathématiques et Informatique

Research Domains

analyse numérique Théorie des Opérateurs Analyse Fonctionnelle et Analyse Numérique Logiciels et Intelligence Artificielle

Filiere

Mathématiques

Applied Mathematics

Location

Msila, Msila

Msila, ALGERIA

Code RFIDE

  • 2025-11-11
  • 2025-11-11

    Chandrasekhar kernel integral operator

    In this study, we addressed the numerical analysis of a state-dependent Chandrasekhar-type integral equation by formulating it in terms of the compact operator F(x) = x − x ◦ T ◦ x, where T denotes a compact integral operator and x is a bounded function. The method of successive approximations, combined with Legendre polynomial interpolation, was employed to approximate solutions within this operator framework. The proposed approach demonstrated satisfactory accuracy and strong convergence properties, confirming its reliability and effectiveness in handling nonlinear models governed by such compact compositions. The obtained numerical results are consistent with theoretical expectations, highlighting the relevance of orthogonal polynomial–based discretization in this context.

    Citation

    ABDELOUAHAB Mani , ,(2025-11-11), Chandrasekhar kernel integral operator,Fifth International Congress on Operators Theory and Applied Mathematics "CITOMA’5",University of El Oued

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  • 2024-12-16
  • 2024-12-16

    Comparative analysis of numericul methods for solving integral delay equations

    The integral equations with delay are considered a very important model that has gained significant attention recently, especially in various fields such as biology, demographic growth, and certain radiation transfer equations. In this work, we will present some approximate methods for determining the solution, such as the Picard method, the fixed-point method, and the trapezoidal method. Additionally, we will enhance the theoretical study with examples that illustrate the importance of these methods.

    Citation

    ABDELOUAHAB Mani , ,(2024-12-16), Comparative analysis of numericul methods for solving integral delay equations,International Conference on Mathematics and its Applications in science and Technology,setif 1 university Ferhat Abbas

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  • 2024-12-04
  • 2024-12-04

    Delayed Volterra Operator and its Corresponding Equation.

    In this study, we will prove the existence and uniqueness of solutions to differential and integral equations with delays. Additionally, we will enhance the theoretical analysis through a numerical investigation, employing advanced numerical methods and cutting-edge software. Moreover, we will present the results obtained in this context for solving an equation

    Citation

    ABDELOUAHAB Mani , ,(2024-12-04), Delayed Volterra Operator and its Corresponding Equation.,National Conference on Mathematical Analysis,msila university

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  • 2024-11-27
  • 2024-11-27

    A Comparative Study of Numerical Methods for Solving Integral Delay Equations

    In this work, we will demonstrate the existence and uniqueness of solutions for integral equations with delays. To further support the theoretical findings, we will conduct a numerical study employing the projection method, utilizing modern computational techniques and advanced software tools. Additionally, the results derived from this approach will be presented in the context of solving this equation

    Citation

    ABDELOUAHAB Mani , ,(2024-11-27), A Comparative Study of Numerical Methods for Solving Integral Delay Equations,Second National Conference on Mathematics and Applications,msila university

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  • 2024-06-24
  • 2024-06-24

    Analytical and Numerical Study of Delay Integral Equations

    In this work, we will establish the existence and the uniqueness of the solution of Differential and integral equations with state-dependent delays. We will also enhance the theoretical study with a numerical investigation, relying on modern numerical techniques and sophisticated software. Additionally, we will present the obtained results in this context for solving an equation

    Citation

    ABDELOUAHAB Mani , MANI KHALED, ,(2024-06-24), Analytical and Numerical Study of Delay Integral Equations,The 8TH African International Conference on Statistics (AIC),HAMMAMET TUNISIA

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  • 2024-05-14
  • 2024-05-14

    Numerical method for state-dependent delay integral equation

    In this work, we will establish the existence and the uniqueness of the solution of Differential and integral equations with state-dependent delays. We will also enhance the theoretical study with a numerical investigation, relying on modern numerical techniques and sophisticated software. Additionally, we will present the obtained results in this context.

    Citation

    ABDELOUAHAB Mani , MANI KHALED, ,(2024-05-14), Numerical method for state-dependent delay integral equation,IC-NMAA'24,BORDJ BOU ARRÉRIDJ

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  • 2023-10-25
  • 2023-10-25

    SOLVING A SYSTEM OF INTEGRAL EQUATIONS

    Solving systems of integral equations can be difficult in some cases; therefore, we resort to solving and processing them numerically. In this work, we will present a numerical solution based on the iterative method, approximating the solution, studying convergence, and applying this analysis to a model of migration between two communities.

    Citation

    ABDELOUAHAB Mani , MANI KHALED, ,(2023-10-25), SOLVING A SYSTEM OF INTEGRAL EQUATIONS,MMS 2023,UNIVERSITY MOHAMED BOUDIAF OF M'SILA

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  • 2014-10-28
  • 2014-10-28

    UNE MÉTHODE NUMÉRIQUE DE RÉSOUDRE D' EQUITATION INTÉGRALES

    Solving integral equations can be challenging in some cases; therefore, we resort to solving and processing them numerically. In this work, we will present a numerical solution based on the spectral method, approximating the solution using Legendre or Chebyshev polynomials.

    Citation

    ABDELOUAHAB Mani , Mostefa NADIR , ,(2014-10-28), UNE MÉTHODE NUMÉRIQUE DE RÉSOUDRE D' EQUITATION INTÉGRALES,CNEPA'14,BORDJ BOU ARRÉRIDJ

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