DOAJ Open Access 2025

A quadrature method for Volterra integral equations of the first kind

S.A. Hosseini

Lihat Sumber DOI

Abstrak

This paper introduces a direct quadrature method for the numerical solution of Volterra integral equations of the first kind, utilizing a composite quadrature scheme based on the Floater–Hormann family of linear barycentric rational interpolants. The convergence of the proposed method is rigorously proved, and the order of convergence is explicitly derived in terms of the parameters of the method, thereby providing a clear theoretical framework for its performance. Several numerical experiments are provided to demonstrate both the efficiency and accuracy of the method, as well as to verify the excellent agreement between the implementation results and the theoretically predicted convergence rates.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (1)

S.A. Hosseini

Format Sitasi

APA MLA BibTeX

Hosseini, S. (2025). A quadrature method for Volterra integral equations of the first kind. https://doi.org/10.22067/ijnao.2025.95004.1712

Akses Cepat

Lihat di Sumber doi.org/10.22067/ijnao.2025.95004.1712

Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.22067/ijnao.2025.95004.1712
Akses: Open Access ✓