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

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish
Article number1478
JournalElectronics (Switzerland)
Volume11
Issue number9
DOIs
StatePublished - 1 May 2022
Externally publishedYes

Keywords

  • delay differential equations
  • Euler method
  • fuzzy theory
  • hybrid differential equations
  • initial value problem
  • Runge–Kutta method

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