Some Properties for Orthonormal Generalized B-spline basis polynomials

Mayada Mohammedali

Abstract


In this work, orthonormal generalized B-spline polynomials (OGBSPs) with some important properties are adopted. Their operational derivative matrix is first introduced. Then the relation for transformation of orthonormal generalized B-spline polynomials into B-spline polynomials is derived in this paper. Also, the convergence is established which dictates that B-spline polynomials can converge to a smooth approximate solution.


Keywords


B-spline polynomials; Orthonormal polynomials; Operation matrix of derivative

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DOI: https://doi.org/10.18686/esta.v6i2.86

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