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Browsing Mathematics by Subject "Volterra integral equations; Galerkin method with Laguerre polynomials; Chebyshev collocation method; Bernstein's approximation method; and numerical techniques"
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- ItemNUMERICAL SOLUTIONS OF SYSTEM OF VOLTERRA INTEGRAL EQUATIONS(جامعة النجاح الوطنية, 2022-05-29) Moghrabi, TasneemIn this thesis, we focus on the numerical treatment of system of Volterra integral equations. The numerical techniques to be considered are Galerkin method with Laguerre polynomials, Chebyshev collocation method, and Bernstein's approximation method. Moreover, some illustrative examples to show the validity and applicability of these techniques are solved. A comparison between these methods is carried out. Numerical results have shown that Bernstein's approximation method is the most accurate and efficient numerical technique for solving linear system of Volterra integral equations in comparison with its counterparts.