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