Search Results - "Alalyani, Ahmad"

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  1. 1
    Numerical Solution of the Fractional-Order Mathematical Model of β-Cells Kinetics and Glucose-Insulin System Using a Predictor-Corrector Method

    Numerical Solution of the Fractional-Order Mathematical Model of β-Cells Kinetics and Glucose-Insulin System Using a Predictor-Corrector Method by Alalyani, Ahmad

    “…This paper is devoted to investigating the numerical solution of a nonlinear fractional-order mathematical model which combines both β-cells kinetics and a…”
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  2. 2
    STABILITY ANALYSIS AND NUMERICAL SIMULATIONS OF IVGTT GLUCOSE-INSULIN INTERACTION MODELS WITH TWO TIME DELAYS

    STABILITY ANALYSIS AND NUMERICAL SIMULATIONS OF IVGTT GLUCOSE-INSULIN INTERACTION MODELS WITH TWO TIME DELAYS by Saber, Sayed, Alalyani, Ahmad

    Published in Mathematical modelling and analysis (01-09-2022)
    “…This paper presents a systematic study of a mathematical model of glucose and insulin interaction with two time delays, with a focus on analytical studies,…”
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  3. 3
    The orthogonal polynomials method using Gegenbauer polynomials to solve mixed integral equations with a Carleman kernel

    The orthogonal polynomials method using Gegenbauer polynomials to solve mixed integral equations with a Carleman kernel by Ahmad Alalyani, M. A. Abdou, M. Basseem

    Published in AIMS mathematics (01-07-2024)
    “…The orthogonal polynomials approach with Gegenbauer polynomials is an effective tool for analyzing mixed integral equations (MIEs) due to their orthogonality…”
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  4. 4
    A Caputo (discretization) fractional-order model of glucose-insulin interaction: numerical solution and comparisons with experimental data

    A Caputo (discretization) fractional-order model of glucose-insulin interaction: numerical solution and comparisons with experimental data by Alshehri, Mansoor H., Duraihem, Faisal Z., Alalyani, Ahmad, Saber, Sayed

    Published in Journal of Taibah University for Science (01-01-2021)
    “…In this paper, we investigate a (discretization) Caputo fractional glucose-insulin model qualitatively with incommensurate orders that appear in Bergman's…”
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  5. 5
    On a Solution of a Third Kind Mixed Integro-Differential Equation with Singular Kernel Using Orthogonal Polynomial Method

    On a Solution of a Third Kind Mixed Integro-Differential Equation with Singular Kernel Using Orthogonal Polynomial Method by Alalyani, Ahmad, Abdou, M. A., Basseem, M.

    Published in Journal of applied mathematics (12-01-2023)
    “…This paper deals with the solution of a third kind mixed integro-differential equation (MIDE) in displacement type in space L2−1,1×C0,T,T<1. The singular…”
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  6. 6
    Numerical Methods for Eigenvalue Computation of Fourth-Order Self-Adjoint Ordinary Differential Operators

    Numerical Methods for Eigenvalue Computation of Fourth-Order Self-Adjoint Ordinary Differential Operators by Alalyani, Ahmad Ali

    Published 01-01-2019
    “…This dissertation is mainly concerned with three new and very different numerical methods for computing eigenvalues of fourth-order Sturm-Liouville…”
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