Parametrized predictor-corrector method for initial value problems with classical and Caputo-Fabrizio derivatives
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Ordinary nonlinear differential equations with classical and fractional derivatives are used to simulate several real-world problems. Nonetheless, numerical approaches are used to acquire their solutions. While various have been proposed, they are susceptible to both disadvantages and advantages. In this paper, we propose a more accurate numerical system for solving nonlinear differential equations with classical and Caputo-Fabrizio derivatives by combining two concepts: the parametrized method and the predictor-corrector method. We gave theoretical analyses to demonstrate the method's correctness, as well as several illustrated examples for both scenarios.
Açıklama
Anahtar Kelimeler
Nonlinear ODE, parametrized method, Heun's method, Caputo-Fabrizio derivative, theoretical analysis
Kaynak
International Journal of Geometric Methods in Modern Physics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
