New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
The Bernstein Basis and Bezier Curves
Gram-Schmidt Orthonormalization Process
Numerical Solution of Optimal Control of Time-varying Singular via Operational Matrices
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.
