TY - JOUR
ID - 117189
TI - Collocation Orthonormal Bernstein Polynomials Method for Solving Integral Equations
JO - Engineering and Technology Journal
JA - ETJ
LA - en
SN - 1681-6900
AU - N. Shihab, Suha.
AU - A. A, Asmaa.
AU - Ali, Mayada.N.Mohammed
AD -
Y1 - 2015
PY - 2015
VL - 33
IS - 8B
SP - 1493
EP - 1502
KW - Bernstein polynomials
KW - Operational Matrix ofDerivative
KW - Linear Fredholm Integral Equations of the Second Kind and Volterra Integral Equations
DO - 10.30684/etj.2015.117189
N2 - In this paper, we use a combination of Orthonormal Bernstein functions on the interval [0,1] for degree m=5,and 6 to produce anew approach implementing Bernstein operational matrix of derivative as a method for the numerical solution of linear Fredholm integral equations and Volterra integral equations of the second kind. The method converges rapidly to the exact solution and gives very accurate results even by low value of m. Illustrative examples are included to demonstrate the validity and efficiency of the technique and convergence of the method to the exact solution.
UR - https://etj.uotechnology.edu.iq/article_117189.html
L1 - https://etj.uotechnology.edu.iq/article_117189_d8c8caa5948f78b07a25c3ad6147bb47.pdf
ER -