Extension of successive midpoint scheme for nonlinear differential equations with global nonlocal operators
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Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This research looked at nonlinear ordinary differential equations with global differential operators and the Dirac-delta and exponential decay kernels. A recently developed numerical approach based on the repetitive use of the well-known midpoint quadrature approximation. Although no theoretical analysis was offered, the method was applied to solve several nonlinear equations in chaos and epidemiology. The observed findings demonstrate the effect of the chosen function g (t), for example, a simple SIR model produced chaotic and crossover behaviors.
Açıklama
Anahtar Kelimeler
Riemann-Stieltjes integral, Jacobian, Global derivative
Kaynak
Alexandria Engineering Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
111
