Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations

With progress on both the theoretical and the computational fronts, the use of Hermite interpolation for mathematical modeling has become an established tool in applied science. This article aims to provide an overview of the most widely used Hermite interpolating polynomials and their implementatio...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 11; no. 14; p. 3157
Main Authors: Kumari, Archna, Kukreja, Vijay K.
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.07.2023
Subjects:
Algorithms
Approximation
Differential equations
Hermite basis function
Hermite interpolation
Hermite polynomials
Interpolation
Literature reviews
Mathematics
orthogonal polynomial
Polynomials
Wave propagation
Germany
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:With progress on both the theoretical and the computational fronts, the use of Hermite interpolation for mathematical modeling has become an established tool in applied science. This article aims to provide an overview of the most widely used Hermite interpolating polynomials and their implementation in various algorithms to solve different types of differential equations, which have important applications in different areas of science and engineering. The Hermite interpolating polynomials, their generalization, properties, and applications are provided in this article.
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content type line 14
ISSN:2227-7390
2227-7390
DOI:10.3390/math11143157