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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

Article Type

Article

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