M. GAGUI Bachir

MCA

Directory of teachers

Department

Mathematics Department

Research Interests

Mathématiques

Contact Info

University of M'Sila, Algeria

Email : bachir.gagui@univ-msila.dz

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Recent Publications

2019

Quadratic numerical treatment for singular integral equations with logarithmic kernel

The goal of this paper is to present a direct method for an approximative solution of a weakly singular integral equations (WSIE) with logarithmic kernel on a piecewise smooth integration path using a modified quadratic spline approximation, we also show that this approximation gives an efficient approach to the analytical solution of WSIE.
Citation

M. GAGUI Bachir, (2019), "Quadratic numerical treatment for singular integral equations with logarithmic kernel", [national] Int. J. Computing Science and Mathematics , inderscience publishers

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2016

Numerical solution of a linear integro-differential equations using finit elements method

The goal of this talk is involoving how to solve a linear integr-differential equations by some techique of a projection based of Galerkin interpolation
Citation

M. GAGUI Bachir, (2016), "Numerical solution of a linear integro-differential equations using finit elements method", [international] séminaire international sur l'analyse mathématiques << LEM2I-2016>> , Hammamet, Tunisie

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2014

NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS IN Lp SPACES

In this work, we give conditions guarantee the boundedness of the Hammerstein integral operator in Lp spaces. The existence and the uniqueness of the solution of Hammerstein integral equation are treated under some ssumptions affected to the successive approximation, so that we obtain the convergence of the approximate solution to the exact one. Finally, we treat numerical examples to confirm our results.
Citation

M. GAGUI Bachir, (2014), "NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS IN Lp SPACES", [national] F A S C I C U L I M A T H E M A T I C I , Poznan University of Technology, Institute of Mathematics

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2007

Two Points for the Adaptive Method for the Numerical Solution of Volterra Integral Equations

In this paper we add two points to the adaptive method for the numerical solution of Volterra integral equations of the second kind studied in [1]. We also present several numerical examples where we show the advantage of this method.
Citation

M. GAGUI Bachir, (2007), "Two Points for the Adaptive Method for the Numerical Solution of Volterra Integral Equations", [national] International Journal: Mathematical Manuscripts , Research India Publications

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