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.

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