NUMERICAL SOLUTIONS OF SYSTEM OF VOLTERRA INTEGRAL EQUATIONS
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Date
2022-05-29
Authors
Moghrabi, Tasneem
Journal Title
Journal ISSN
Volume Title
Publisher
جامعة النجاح الوطنية
Abstract
In 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.
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Keywords
Volterra integral equations; Galerkin method with Laguerre polynomials; Chebyshev collocation method; Bernstein's approximation method; and numerical techniques