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New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials | ||
| Baghdad Science Journal | ||
| Article 1, Volume 12, Issue 4, 2015, Pages 846-853 | ||
| Author | ||
| Mayada N. Mohammedali | ||
| Abstract | ||
| Based on analyzing the properties of Bernstein polynomials, the extended orthonormal Bernstein polynomials, defined on the interval [0, 1] for n=7 is achieved. Another method for computing operational matrices of derivative and integration D_b and R_(n+1)^B respectively is presented. Also the result of the proposed method is compared with true answers to show the convergence and advantages of the new method. | ||
| Keywords | ||
| The Bernstein Basis and Bezier Curves; Gram; Schmidt Orthonormalization Process; Numerical Solution of Optimal Control of Time; varying Singular via Operational Matrices | ||
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