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Article

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

1
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore 641020, India
2
Faculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral ESPOL, Guayaquil 090902, Ecuador
3
Faculty of Engineering, Universidad Espíritu Santo, Samborondón 0901952, Ecuador
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School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile
5
Department of Mathematics, Université de Caen Basse-Normandie, F-14032 Caen, France
*
Author to whom correspondence should be addressed.
Academic Editors: Nallappan Gunasekaran, R. Vadivel, Yongbao Wu and Bing Yan
Electronics 2022, 11(9), 1478; https://doi.org/10.3390/electronics11091478
Received: 4 April 2022 / Revised: 26 April 2022 / Accepted: 28 April 2022 / Published: 5 May 2022
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. View Full-Text
Keywords: Euler method; fuzzy theory; hybrid differential equations; initial value problem; delay differential equations; Runge–Kutta method Euler method; fuzzy theory; hybrid differential equations; initial value problem; delay differential equations; Runge–Kutta method
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MDPI and ACS Style

Dhandapani, P.B.; Thippan, J.; Martin-Barreiro, C.; Leiva, V.; Chesneau, C. Numerical Solutions of a Differential System Considering a Pure Hybrid Fuzzy Neutral Delay Theory. Electronics 2022, 11, 1478. https://doi.org/10.3390/electronics11091478

AMA Style

Dhandapani PB, Thippan J, Martin-Barreiro C, Leiva V, Chesneau C. Numerical Solutions of a Differential System Considering a Pure Hybrid Fuzzy Neutral Delay Theory. Electronics. 2022; 11(9):1478. https://doi.org/10.3390/electronics11091478

Chicago/Turabian Style

Dhandapani, Prasantha Bharathi, Jayakumar Thippan, Carlos Martin-Barreiro, Víctor Leiva, and Christophe Chesneau. 2022. "Numerical Solutions of a Differential System Considering a Pure Hybrid Fuzzy Neutral Delay Theory" Electronics 11, no. 9: 1478. https://doi.org/10.3390/electronics11091478

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