TY - JOUR
T1 - Numerical Solutions of a Differential System Considering a Pure Hybrid Fuzzy Neutral Delay Theory
AU - Dhandapani, Prasantha Bharathi
AU - Thippan, Jayakumar
AU - Martin-Barreiro, Carlos
AU - Leiva, Víctor
AU - Chesneau, Christophe
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/5/1
Y1 - 2022/5/1
N2 - 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.
AB - 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.
KW - Euler method
KW - Runge–Kutta method
KW - delay differential equations
KW - fuzzy theory
KW - hybrid differential equations
KW - initial value problem
UR - http://www.scopus.com/inward/record.url?scp=85129387707&partnerID=8YFLogxK
U2 - 10.3390/electronics11091478
DO - 10.3390/electronics11091478
M3 - Article
AN - SCOPUS:85129387707
SN - 2079-9292
VL - 11
JO - Electronics (Switzerland)
JF - Electronics (Switzerland)
IS - 9
M1 - 1478
ER -