Trigonometric Hermite interpolation method for Fredholm linear integral equations-Reference-Cited by-同舟云学术

Trigonometric Hermite interpolation method for Fredholm linear integral equations

Published:2023-01-10 Issue:2 Volume:29 Page:261-275
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Ajeddar Mohamed¹,Lamnii Abdellah²^ORCID

Affiliation:

1. FST de Settat , Km 3, B.P.: 577 Route de Casablanca, 26000 Settat , Morocco

2. Département de Mathématiques, d’Informatique et des Sciences Physiques , Abdelmalek Essaadi University LaSAD , ENS, 93030, Avenue Moulay Hassan, BP: 209 Martil, Martil 93150 , Tetouan , Morocco

Abstract

Abstract This paper presents a new trigonometric composite Hermite interpolation method for solving Fredholm linear integral equations. This operator approximates locally both the function and its derivative, which is known on the subdivision nodes. Then we derive a class of quadrature rules with endpoint corrections based on integrating the composite Hermite interpolant. We also provide error estimation and numerical examples to illustrate that this new operator can provide highly accurate results.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2022-2002/pdf

Reference24 articles.

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