Deriving the Composite Simpson Rule by Using Bernstein Polynomials for Solving Volterra Integral Equations

Jenan Ahmad  Al-A'asam

doi:10.21123/bsj.2014.11.3.1274-1281

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Published: Sep 7, 2014

DOI: https://doi.org/10.21123/bsj.2014.11.3.1274-1281

Keywords:

Integral equation, Bernstein polynomial, Simpson rule

Jenan Ahmad Al-A'asam

Abstract

In this paper we use Bernstein polynomials for deriving the modified Simpson's 3/8 , and the composite modified Simpson's 3/8 to solve one dimensional linear Volterra integral equations of the second kind , and we find that the solution computed by this procedure is very close to exact solution.

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Deriving the Composite Simpson Rule by Using Bernstein Polynomials for Solving Volterra Integral Equations. Baghdad Sci.J [Internet]. 2014 Sep. 7 [cited 2024 Apr. 25];11(3):1274-81. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2018

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Vol. 11 No. 3 (2014): issue 3

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P-ISSN: 2078-8665 | E-ISSN: 2411-7986

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Journal: Baghdad Science Journal
Publisher: College of Science for Women/ University of Baghdad
Baghdad Sci. J. is peer-reviewed and open access
Print ISSN: 2078-8665
Electronic ISSN: 2411-7986
Publishing Frequency: Quarterly (from 2004 - 2021) Bi-monthly (from 2022) Monthly (from 2024)
Launched Date: 2004
Abbreviation: Baghdad Sci.J.
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© 2022 The Author(s). Published by College of Science for Women, University of Baghdad. This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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