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

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  • Sankar Prasad Mondal
  • Susmita Roy
  • Biswajit Das

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.

Suggested Citation

  • Sankar Prasad Mondal & Susmita Roy & Biswajit Das, 2016. "Numerical Solution of First-Order Linear Differential Equations in Fuzzy Environment by Runge-Kutta-Fehlberg Method and Its Application," International Journal of Differential Equations, Hindawi, vol. 2016, pages 1-14, May.
    • Handle: RePEc:hin:jnijde:8150497
    DOI: 10.1155/2016/8150497
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    Cited by:

    1. Kebai Li & Tianyi Ma & Tom Dooling & Guo Wei, 2019. "Urban Comprehensive Water Consumption: Nonlinear Control of Production Factor Input Based upon the C-D Function," Sustainability, MDPI, vol. 11(4), pages 1-19, February.

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