Numerical Solutions of Volterra Integral Equations with Subdivision-Based Collocation Approach

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Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

World Scientific Publ Co Pte Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Integral equations play a vital role in the fields of applied and computational mathematics. This paper introduces a unique subdivision-based collocation technique for solving the initial value problems (IVPs) arising from Volterra integral equations (VIEs). A suitable subdivision scheme is employed to develop the numerical algorithm for solving the VIEs. Several numerical illustrations are tested and compared with the existing methods for assessing the efficiency of the proposed numerical algorithm and error estimation.

Açıklama

Anahtar Kelimeler

Integral equation, Volterra integral equation, initial value problem, subdivision scheme, collocation algorithm

Kaynak

International Journal of Computational Methods

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

Sayı

Künye