Computing Derivatives of Jacobi Polynomials Using Bernstein Transformation and Differentiation Matrix |
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Authors: | Abedallah Rababah Mohammed Al-Refai |
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Affiliation: | Department of Mathematics , Jordan University of Science and Technology , Irbid, Jordan |
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Abstract: | In this paper, we give a new, simple, and efficient method for evaluating the pth derivative of the Jacobi polynomial of degree n. The Jacobi polynomial is written in terms of the Bernstein basis, and then the pth derivative is obtained. The results are given in terms of both Bernstein basis of degree n ? p and Jacobi basis form of degree n ? p and presented in a matrix form. Numerical examples and comparisons with other well-known methods are presented. |
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Keywords: | Basis transformation Bernstein polynomials Derivative evaluation Jacobi polynomials |
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