Numerical Solutions of a Differential System Considering a Pure Hybrid Fuzzy Neutral Delay Theory

Prasantha Bharathi Dhandapani, Jayakumar Thippan, Carlos Martin-Barreiro, Víctor Leiva, Christophe Chesneau

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)

Resumen

In this paper, we propose and derive a new system called pure hybrid fuzzy neutral delay differential equations. We apply the classical fourth-order Runge–Kutta method (RK-4) to solve the proposed system of ordinary differential equations. First, we define the RK-4 method for hybrid fuzzy neutral delay differential equations and then establish the efficiency of this method by utilizing it to solve a particular type of fuzzy neutral delay differential equation. We provide a numerical example to verify the theoretical results. In addition, we compare the RK-4 and Euler solutions with the exact solutions. An error analysis is conducted to assess how much deviation from exactness is found in the two numerical methods. We arrive at the same conclusion for our hybrid fuzzy neutral delay differential system since the RK-4 method outperforms the classical Euler method.

Idioma originalInglés
Número de artículo1478
PublicaciónElectronics (Switzerland)
Volumen11
N.º9
DOI
EstadoPublicada - 1 may. 2022
Publicado de forma externa

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