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

Autor:	Meghna Parikh, Manoj Sahni, Ritu Sahni
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	differential equation fuzzy set triangular fuzzy numbers neutrosophic runge-kutta 4th order Mathematics QA1-939 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Neutrosophic Sets and Systems, Vol 51, Pp 311-329 (2022)
Druh dokumentu:	article
ISSN:	2331-6055 2331-608X
DOI:	10.5281/zenodo.7135307
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/47e77b0fbb8843c586c8c7ca7292ed5a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF