Trigonometric Hermite interpolation method for Fredholm linear integral equations

• Autorzy: Ajeddar Mohamed , Lamnii Abdellah

Identyfikatory

DOI

10.1515/jaa-2022-2002

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

algebraic trigonometric B-splines; Hermite spline interpolation; quadrature rule; Fredholm integral equation

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 2
• Strony: 261--275
• Opis fizyczny: Bibliogr. 24 poz., wykr.

Twórcy

autor

Ajeddar Mohamed

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

autor

Lamnii Abdellah

• 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

• https://orcid.org/0000-0002-0538-8812

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).