
Deriving the Composite Simpson Rule by Using Bernstein Polynomials for Solving Volterra Integral Equations
Author(s) -
Jenan Ahmad Al-A'asam
Publication year - 2014
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.11.3.1274-1281
Subject(s) - mathematics , volterra integral equation , bernstein polynomial , integral equation , composite number , mathematical analysis , algorithm
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.