Solution of First Order Initial Value Problem using Analytical and Numerical Method in Neutrosophic Environment

Authors

  • Meghna Parikh Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, India
  • Manoj Sahni Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, India.
  • Ritu Sahni Department of Mathematics, School of Technology, Pandit Deendayal Energy University, Gandhinagar, Gujarat, India

Keywords:

Differential equation, Fuzzy set, Triangular Fuzzy numbers, Neutrosophic, Runge-Kutta 4th order

Abstract

In this paper, the solution of a first-order linear non-homogeneous fuzzy differential equation with an initial condition is described in a neutrosophic environment. For this purpose, using triangular neutrosophic numbers, the neutrosophic analytical method, and the fourth-order Runge-Kutta numerical method have been introduced for solving fuzzified first order differential equation. We also observed solutions at the (α,β,γ)-cut with varied time scales. In addition, the error between the analytical and numerical solution obtained on the (α,β,γ)-cut is evaluated and illustrated using tables with varying time. A good amount of agreement is seen using closed form and numerical solutions.

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Published

2022-08-01

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Parikh, M., Sahni, M. ., & Sahni, R. . (2022). Solution of First Order Initial Value Problem using Analytical and Numerical Method in Neutrosophic Environment. Neutrosophic Sets and Systems, 51, 311-329. https://fs.unm.edu/nss8/index.php/111/article/view/2566