investigating nonlinear fractional systems: reproducing kernel Hilbert space method

[ X ]

Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The reproducing kernel Hilbert space method (RK-HS method) is used in this research for solving some important nonlinear systems of fractional ordinary differential equations, such as the fractional Susceptible-Infected-Recovered (SIR) model. Nonlinear systems are widely used across various disciplines, including medicine, biology, technology, and numerous other fields. To evaluate the RK-HS method's accuracy and applicability, we compare its numerical solutions with those obtained via Hermite interpolation, the Adomian decomposition method, and the residual power series method. To further support the reliability of the RK-HS method, the convergence analysis is discussed.

Açıklama

Anahtar Kelimeler

Numerical solution, Reproducing kernel method, SIR model, Fractional ordinary differential equations, Caputo derivative

Kaynak

Optical and Quantum Electronics

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

56

Sayı

1

Künye