ABDERRAZAK Mehellou

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ABDERRAZAK Mehellou

عبد الرزاق محلو

abderrazak.mehellou@univ-msila.dz

0697153318

  • Mathematics Department
  • Faculty of Mathematics and Informatics
  • Grade PHd
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About Me

Domain

Mathématiques et Informatique

Filiere

Mathématiques

Numerical Analysis and Oartials Differentials Equations

Location

Msila, Msila

Msila, ALGERIA

Code RFIDE

  • 1992-11-05 00:00:00

  • ABDERRAZAK Mehellou birthday

  • 2025-04-06
  • 2025-04-06

    Numerical solutions of Nonlinear Quadratic Volterra Integral Equations using Vieta-Lucas Wavelets

    In this article, we present a numerical approach for solving Nonlinear Quadratic Volterra Integral Equations (NQVIEs) with the collocation method using Vieta-Lucas Wavelets (VLWs) and the Legendre Gauss Quadrature Rule (LGQR). First, we prove the existence and uniqueness of the main problem under specific conditions. Then, we apply the proposed method; the NQVIEs well be reduced to a system of nonlinear algebraic equations that can be solved by Newton’s method. We also estimate the error bound and the convergence of the presented method. Several numerical examples are mentioned in order to demonstrate its effectiveness and accuracy in solving NQVIEs.

    Citation

    Abderrazak MEHELLOU , AMINA Khirani , Mostefa NADIR , , (2025-04-06), Numerical solutions of Nonlinear Quadratic Volterra Integral Equations using Vieta-Lucas Wavelets, Applied Mathematics and Computational Mechanics, Vol:24, Issue:2, pages:47-60, The Publishing Office of Czestochowa University of Technology

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  • 2024-12-08
  • 2024-12-08

    Numerical solution of Fredholm Integral Equations using Chebyshev Wavelets Method

    Chebyshev Wavelets Method is used for solving linear Fredholm integral equations. This method reduces the integral equations to a linear system of algebraic equations, which can be solved by wolfram mathematica program. Illustrative Examples show that the proposed Method is accurate and efficient.

    Citation

    Abderrazak MEHELLOU , ,(2024-12-08), Numerical solution of Fredholm Integral Equations using Chebyshev Wavelets Method,4th National Conference of Mathematics and Applications (CNMA - 2024) 07-08 December 2024, Mila - Algeria,Mila

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  • 2024-11-28
  • 2024-11-28

    numerical solution of fredholm integral equations using galerkin-legendre-wavelets method.

    Galerkin-Legendre-Wavelets Method is used for solving linear Fredholm integral equations. This method reduces the integral equations to a linear system of algebraic equations, which can be solved by wolfram mathematica program. Illustrative Examples show that the proposed Method is accurate and efficient.

    Citation

    Abderrazak MEHELLOU , ,(2024-11-28), numerical solution of fredholm integral equations using galerkin-legendre-wavelets method.,Second National Conference on Mathematics and Applications M’sila, Algeria - 27-28 Nov. 2024,M’sila

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  • 2024-11-20
  • 2024-11-20

    Numerical solution of Fredholm Integral Equations using Legendre-Galerkin Method

    Legendre-Galerkin Method is used for solving linear Fredholm integral equations. This method reduces the integral equations to a linear system of algebraic equations, which can be solved by wolfram mathematica program. Illustrative Examples show that the proposed Method is accurate and efficient.

    Citation

    Abderrazak MEHELLOU , ,(2024-11-20), Numerical solution of Fredholm Integral Equations using Legendre-Galerkin Method,8ème Workshop International sur les mathématiques appliquées et la Modélisation ''WIMAM’24'' Nouveau nom: 1ère Conférence Internationale Mohand Moussaoui sur les Mathématiques Appliquées et la Modélisation,Galma

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  • 2024-05-15
  • 2024-05-15

    Numerical solution of nonlinear Volterra integral equations using wavelets method

    The wavelets method with orthogonal polynomials is used for solving nonlinear Volterra integral equations. This method reduces the integral equations to a system of algebraic equations, which can be solved by using an appropriate method. This method is used to solve some nonlinear Volterra integral equations. Numerical experiments show that the proposed technique is accurate and efficient.

    Citation

    Abderrazak MEHELLOU , ,(2024-05-15), Numerical solution of nonlinear Volterra integral equations using wavelets method,The 1st International Conference on Nonlinear Mathematical Analysis and its Applications (IC-NMAA’24), held on May, 14-15 2024 at Bordj Bou Arréridj University,Bordj Bou Arréridj

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