Numerical Analysis of Differential Equation with Type-2 Fuzzy Number as Initial Condition

Nirmala Venkatachalam; Parimala Venkatachalam; Vennila Ramasamy

doi:10.47852/bonviewJCCE2202377

Authors

Nirmala Venkatachalam University College of Engineering Tindivanam, India https://orcid.org/0000-0001-9496-1985
Parimala Venkatachalam Sri Krishna College of Technology, India https://orcid.org/0000-0001-5309-9225
Vennila Ramasamy Kongu Engineering College, India

DOI:

https://doi.org/10.47852/bonviewJCCE2202377

Keywords:

fuzzy differential equation, type-2 fuzzy set, numerical analysis, Runge–Kutta method

Abstract

The primary intention of this article is to study numerical solutions of differential equation with interval type-2 fuzzy number as the initial condition. The differential equation is first redrafted in the parametric form; then, it is restructured into three systems of linear differential equations. Each system includes two concurrent linear differential equations with respective initial conditions. The classical fourth-order Runge–Kutta method is developed for the above-derived systems. The ability of the method is corroborated by illustrating the problems.

Received: 5 September 2022 | Revised: 10 November 2022 | Accepted: 27 November 2022

Conflicts of Interest

The authors declare that they have no conflicts of interest to this work.

Data Availability Statement

Data available on request from the corresponding author upon reasonable request.