TY - JOUR
ID -
TI - Approximate Solution to Calculus of Variational Problem Using Orthogonal Polynomials
AU - Mayada N. Mohammedali Applied Sciences Department
PY - 2013
VL - 19
IS - 77
SP - 1
EP - 8
JO - journal of the college of basic education مجلة كلية التربية الاساسية
SN - 18157467 27068536
AB -
Abstract In this paper, some properties concerning orthonormal Bernstein polynomials are derived. An explicit formula for the derivative orthonormal Bernstein polynomials of degree five is obtained in terms of Bernstein polynomials themselves to construct the operational matrix of derivatives of orthonormal Bernstein polynomials. Then we apply it for solving calculus of variational approximately using direct method. Illustrative example is given to demonstrate the efficiency of the method.
ER -