Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials

Karamollahi, Nasibeh; Heydari, Mohammad; Loghmani, Ghasem Barid

doi:10.1016/j.matcom.2021.03.015

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Application Of Hermite As a Basis Function1

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2022

2024

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Cited by 7 publications

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“…They gave the comparison between RBFCM and Hermite MAPS and demonstrated that the results obtained by Hermite MAPS were more accurate and stable for the shape parameter. Karamollahi et al [134] and Maleknejad and Yousefi [135] approximated the solution of the following nonlinear Fredholm integral equations:…”

Section: Application Of Hermite As a Basis Functionmentioning

confidence: 99%

Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations

Kumari

Kukreja

2023

Mathematics

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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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Section: Application Of Hermite As a Basis Functionmentioning

confidence: 99%