Numerical Solution of First-Order Linear Differential Equations in Fuzzy Environment by Runge-Kutta-Fehlberg Method and Its Application

Sankar Prasad Mondal, Susmita Roy and Biswajit Das

International Journal of Differential Equations, 2016, vol. 2016, 1-14

Abstract:

The numerical algorithm for solving “first-order linear differential equation in fuzzy environment” is discussed. A scheme, namely, “Runge-Kutta-Fehlberg method,” is described in detail for solving the said differential equation. The numerical solutions are compared with (i)-gH and (ii)-gH differential (exact solutions concepts) system. The method is also followed by complete error analysis. The method is illustrated by solving an example and an application.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:8150497

DOI: 10.1155/2016/8150497

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