A New Operational Matrix of Derivative for Orthonormal Bernstein Polynomial's | ||
| Baghdad Science Journal | ||
| Article 1, Volume 11, Issue 3, September 2014, Pages 1295-1300 | ||
| Author | ||
| Mayada N. Mohammed Ali | ||
| Abstract | ||
| In this paper, an orthonormal family has been constracted {b_i6 }_(i=0)^6 of polynomials of degree six is first constructed by using Gram-Schmidt orthonormalization process on Bernstein polynomials {B_i6 }_(i=0)^6.Then, an orthonormal Bernstein operational matrix of derivative D_b is derived.Finally, the orthonormal Bernstein expansions along with operational matrix of derivative are applied for variational problemsapproximately. | ||
| Keywords | ||
| Gram; Schmidt using direct method process; operational matrix of derivative; Bernstein polynomials; variational problems | ||
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